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Cossetti, Lucrezia; Fanelli, Luca; Schiavone, Nico M.

Recent developments in spectral theory for non-self-adjoint Hamiltonians. (English) Zbl 07925343

Machihara, Shuji (ed.), Mathematical physics and its interactions. In honor of the 60th birthday of Tohru Ozawa, Tokyo, Japan, August 25–27, 2021. Conference proceedings. Singapore: Springer. Springer Proc. Math. Stat. 451, 225-253 (2024).

MSC: 47A55 47A25 81Q15

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Dolbeault, Jean; Gontier, David; Pizzichillo, Fabio; Van Den Bosch, Hanne

Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators. (English) Zbl 07835936

Rev. Mat. Iberoam. 40, No. 2, 649-692 (2024).

MSC: 81Q10 49R05 49J35 47A75 47B25

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Rasulov, T. H.; Dilmurodov, E. B.

Main properties of the Faddeev equation for \(2 \times 2\) operator matrices. (English. Russian original) Zbl 07858839

Russ. Math. 67, No. 12, 47-52 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 12, 53-58 (2023).

MSC: 47Axx 81Qxx 47Bxx

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Stepin, S. A.

Spectral analysis of a dynamical system describing the diffusion of neutrons. (English. Russian original) Zbl 07786658

Funct. Anal. Appl. 57, No. 2, 143-157 (2023); translation from Funkts. Anal. Prilozh. 57, No. 2, 75-92 (2023).

MSC: 47Dxx 82-XX

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Kunze, Markus

A Birman-Schwinger principle in galactic dynamics: ESI, Vienna, 07–11 February 2022. (English) Zbl 1517.83083

Classical Quantum Gravity 39, No. 24, Article ID 244001, 28 p. (2022).

MSC: 83F05 85A05 35Q83 03C45 83-01

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Hansmann, Marcel; Krejčiřík, David

The abstract Birman-Schwinger principle and spectral stability. (English) Zbl 07637560

J. Anal. Math. 148, No. 1, 361-398 (2022).

Reviewer: Miyeon Kwon (Platteville)

MSC: 47A10 35P05 81Q10

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Mizutani, Haruya; Schiavone, Nico M.

Spectral enclosures for Dirac operators perturbed by rigid potentials. (English) Zbl 1500.35218

Rev. Math. Phys. 34, No. 8, Article ID 2250023, 44 p. (2022).

MSC: 35P15 35Q41 47A10 47F05 81Q12

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Cossetti, Lucrezia

Bounds on eigenvalues of perturbed Lamé operators with complex potentials. (English) Zbl 1511.81049

Math. Eng. (Springfield) 4, No. 5, Paper No. 37, 29 p. (2022).

MSC: 81Q12 35P15 81Q10

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D’Ancona, Piero; Fanelli, Luca; Schiavone, Nico Michele

Eigenvalue bounds for non-selfadjoint Dirac operators. (English) Zbl 1504.35202

Math. Ann. 383, No. 1-2, 621-644 (2022).

Reviewer: Markus Holzmann (Graz)

MSC: 35P15 35J10 35Q41 47A10 47F05 81Q12

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Ponge, Raphaël

Weyl’s laws and Connes’ integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials. (English) Zbl 1486.35445

Math. Phys. Anal. Geom. 25, No. 2, Paper No. 10, 33 p. (2022).

MSC: 35R11 35J10 35P15 47G30

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Hansmann, Marcel; Rose, Christian; Stollmann, Peter

Bounds on the first Betti number: an approach via Schatten norm estimates on semigroup differences. (English) Zbl 1486.53044

J. Geom. Anal. 32, No. 4, Paper No. 115, 17 p. (2022).

MSC: 53C20 58J50 58J35

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Behrndt, Jussi; ter Elst, A. F. M.; Gesztesy, Fritz

The generalized Birman-Schwinger principle. (English) Zbl 1540.47024

Trans. Am. Math. Soc. 375, No. 2, 799-845 (2022).

Reviewer: Davide Buoso (Alessandria)

MSC: 47A53 47A56 47A10 47B07 47B12

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D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M.

Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. (English) Zbl 1476.35152

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112565, 13 p. (2022).

MSC: 35P15 47A10 47F05 81Q12

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Kunze, Markus

A Birman-Schwinger principle in galactic dynamics. (English) Zbl 1475.85002

Progress in Mathematical Physics 77. Cham: Birkhäuser (ISBN 978-3-030-75185-2/hbk; 978-3-030-75188-3/pbk; 978-3-030-75186-9/ebook). x, 206 p. (2021).

Reviewer: Daniel Beltiţă (Bucureşti)

MSC: 85A05 35Q83 35B35 81V55 47A10 35-02

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Exner, Pavel

Spectral properties of soft quantum waveguides. (English) Zbl 1519.81231

J. Phys. A, Math. Theor. 53, No. 35, Article ID 355302, 15 p. (2020); corrigendum ibid. 54, No. 9, Article ID 099501, 1 p. (2021).

MSC: 81Q37

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Rasulov, T. H.; Dilmurodov, E. B.

Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum. (English. Russian original) Zbl 1458.81023

Theor. Math. Phys. 205, No. 3, 1564-1584 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 368-390 (2020).

MSC: 81Q10 81Q35 82D20 30H20 47A25

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Muminov, Mukhiddin I.; Rasulov, Tulkin H.; Tosheva, Nargiza A.

Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices. (English) Zbl 1453.81029

Commun. Math. Anal. 23, No. 1, 17-37 (2020).

MSC: 81Q10 35P20 47N50

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Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.

Erratum to: “Non self adjoint operators, infinite determinants, and some applications”. (English) Zbl 1451.47002

Russ. J. Math. Phys. 27, No. 3, 410 (2020).

MSC: 47B28 81Q12

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Ibrogimov, Orif O.; Štampach, František

Spectral enclosures for non-self-adjoint discrete Schrödinger operators. (English) Zbl 1439.39012

Integral Equations Oper. Theory 91, No. 6, Paper No. 53, 15 p. (2019).

Reviewer: Chrysoula G. Kokologiannaki (Patras)

MSC: 39A70 47B36 47A75

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Ivrii, Victor

Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. (English) Zbl 1441.35003

Cham: Springer (ISBN 978-3-030-30540-6/hbk; 978-3-030-30541-3/ebook). xix, 525 p. (2019).

Reviewer: Luigi Rodino (Torino)

MSC: 35-02 35P20 35A27 35S05

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Fanelli, Luca; Krejčiřík, David

Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. (English) Zbl 1419.35138

Lett. Math. Phys. 109, No. 7, 1473-1485 (2019).

Reviewer: Guy Katriel (Haifa)

MSC: 35P15 35J99 47A10 47F05 81Q12

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Lotoreichik, Vladimir

Spectral isoperimetric inequalities for singular interactions on open arcs. (English) Zbl 1414.35135

Appl. Anal. 98, No. 8, 1451-1460 (2019).

MSC: 35P15 58J50

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Muchatibaya, Gift; Mushanyu, Josiah

A note on the asymptotic and threshold behaviour of discrete eigenvalues inside the spectral gaps of the difference operator with a periodic potential. (English) Zbl 1403.39015

Adv. Math. Phys. 2018, Article ID 4696790, 5 p. (2018).

MSC: 39A60 39A30

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Ibrogimov, Orif O.; Tretter, Christiane

On the spectrum of an operator in truncated Fock space. (English) Zbl 1402.81151

Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser (ISBN 978-3-319-68848-0/hbk; 978-3-319-68849-7/ebook). Operator Theory: Advances and Applications 263. Linear Operators and Linear Systems, 321-334 (2018).

MSC: 81Q10 47G10 47N50 35P05 81V35 81U99

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Cuenin, Jean-Claude; Siegl, Petr

Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. (English) Zbl 1402.34087

Lett. Math. Phys. 108, No. 7, 1757-1778 (2018).

Reviewer: Mihai Pascu (Bucureşti)

MSC: 34L15 34L40 34L05 78A50

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Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten

Spectral bounds for singular indefinite Sturm-Liouville operators with \(L^1\)-potentials. (English) Zbl 1396.34052

Proc. Am. Math. Soc. 146, No. 9, 3935-3942 (2018).

Reviewer: Andreas Fleige (Dortmund)

MSC: 34L15 47E05 34B24

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Fanelli, Luca; Krejčiřík, David; Vega, Luis

Spectral stability of Schrödinger operators with subordinated complex potentials. (English) Zbl 1391.35296

J. Spectr. Theory 8, No. 2, 575-604 (2018).

MSC: 35P15 35J10 47A10 81Q12

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Henry, Raphaël; Krejčiřík, David

Pseudospectra of the Schrödinger operator with a discontinuous complex potential. (English) Zbl 1377.34106

J. Spectr. Theory 7, No. 3, 659-697 (2017).

MSC: 34L05 34L15 47A10 47B44 81Q12

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Abdullaev, Zh. I.; Kuliev, Komil D.

Bound states of a two-boson system on a two-dimensional lattice. (English. Russian original) Zbl 1338.81195

Theor. Math. Phys. 186, No. 2, 231-250 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 272-292 (2016).

MSC: 81Q10 81Q35 81Q05 81Q15 35J10

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Novák, Radek

Bound states in waveguides with complex Robin boundary conditions. (English) Zbl 1381.35110

Asymptotic Anal. 96, No. 3-4, 251-281 (2016).

MSC: 35P05 35J25 35C20

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Muminov, Mukhiddin I.; Rasulov, Tulkin H.

On the eigenvalues of a \(2\times 2\) block operator matrix. (English) Zbl 1329.81181

Opusc. Math. 35, No. 3, 371-395 (2015).

MSC: 81Q10 35P20 47N50

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Muminov, Mukhiddin I.; Rasulov, Tulkin H.

Embedded eigenvalues of a Hamiltonian in bosonic Fock space. (English) Zbl 1320.81057

Commun. Math. Anal. 17, No. 1, 1-22 (2014).

MSC: 81Q10 35P20 81Q35 30H20

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Muminov, M. I.; Rasulov, T. H.

Infiniteness of the number of eigenvalues embedded in the essential spectrum of a \(2\times2\) operator matrix. (English) Zbl 1312.81073

Eurasian Math. J. 5, No. 2, 60-77 (2014).

MSC: 81Q10 35P20 47N50 81Q15 47A10

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Full Text: MNR

Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert

Translation-invariant quasi-free states for fermionic systems and the BCS approximation. (English) Zbl 1327.82099

Rev. Math. Phys. 26, No. 7, Article ID 1450012, 37 p. (2014).

Reviewer: Ivan A. Parinov (Rostov-na-Donu)

MSC: 82D50 46N50

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Gridnev, Dmitry K.

Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum. (English) Zbl 1302.81100

J. Math. Phys. 54, No. 4, 042105, 41 p. (2013).

Reviewer: Monika Winklmeier (Bogotá)

MSC: 81Q10 81V70

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Muminov, Z. È.; Kulzhanov, U. N.

Lower bound states of one-particle Hamiltonians on an integer lattice. (Russian, English) Zbl 1340.81012

Mat. Tr. 15, No. 1, 129-140 (2012); translation in Sib. Adv. Math. 23, No. 1, 61-68 (2013).

MSC: 81Q10 35P20

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Albeverio, Sergio A.; Lakaev, S. N.; Khalkhujaev, A. M.

Number of eigenvalues of the three-particle Schrödinger operators on lattices. (English) Zbl 1271.81076

Markov Process. Relat. Fields 18, No. 3, 387-420 (2012).

MSC: 81Q10 35P20 47N50

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Pushnitski, Alexander

The Birman-Schwinger principle on the essential spectrum. (English) Zbl 1244.47014

J. Funct. Anal. 261, No. 7, 2053-2081 (2011).

Reviewer: Miyeon Kwon (Platteville)

MSC: 47A40 47A55 47A53

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Rasulov, T. Kh.

On the number of eigenvalues of a matrix operator. (English. Russian original) Zbl 1222.47002

Sib. Math. J. 52, No. 2, 316-328 (2011); translation from Sib. Mat. Zh. 52, No. 2, 400-415 (2011).

MSC: 47A10 81Q10

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Rasulov, T. Kh.

Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice. (English. Russian original) Zbl 1196.81123

Theor. Math. Phys. 163, No. 1, 429-437 (2010); translation from Teor. Mat. Fiz. 163, No. 1, 34-44 (2010); erratum ibid. 163, No. 2, 696 (2010).

MSC: 81Q10 81Q05 70F07 35J10

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Haroske, Dorothee D.; Skrzypczak, Leszek

Spectral theory of some degenerate elliptic operators with local singularities. (English) Zbl 1198.47067

J. Math. Anal. Appl. 371, No. 1, 282-299 (2010).

Reviewer: Dian K. Palagachev (Bari)

MSC: 47G30 35J70 35S05

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Vougalter, V.

On threshold eigenvalues and resonances for the linearized NLS equation. (English) Zbl 1193.35212

Math. Model. Nat. Phenom. 5, No. 4, 448-469 (2010).

MSC: 35Q55 47J15 81Q05 81Q10

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Hainzl, Christian; Seiringer, Robert

The BCS critical temperature for potentials with negative scattering length. (English) Zbl 1164.81006

Lett. Math. Phys. 84, No. 2-3, 99-107 (2008).

MSC: 81Q10 46N50 82D50

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Lakaev, S. N.; Khalkhuzhaev, A. M.

Spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1146.81027

Theor. Math. Phys. 155, No. 2, 754-765 (2008); translation from Teor. Mat. Fiz. 155, No. 2, 287-300 (2008).

MSC: 81Q10 70F05 35J10 65N22

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Abdullaev, J. I.; Ikromov, I. A.

Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1131.81007

Theor. Math. Phys. 152, No. 3, 1299-1312 (2007); translation from Teor. Mat. Fiz. 152, No. 3, 502-517 (2007).

MSC: 81Q10 35J10

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Albeverio, Sergio; Lakaev, Saidakhmat N.; Rasulov, Tulkin H.

On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics. (English) Zbl 1126.81022

J. Stat. Phys. 127, No. 2, 191-220 (2007).

MSC: 81Q10 47A10

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Abdullaev, J. I.

Bound states of a system of two fermions on a one-dimensional lattice. (English) Zbl 1177.81111

Theor. Math. Phys. 147, No. 1, 486-495 (2006); translation from Teor. Mat. Fiz. 147, No. 1, 47-57 (2006).

MSC: 81T25 47N50

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Arazy, Jonathan; Zelenko, Leonid

Virtual eigenvalues of the high order Schrödinger operator. I. (English) Zbl 1105.47043

Integral Equations Oper. Theory 55, No. 2, 189-231 (2006).

Reviewer: Sotiris K. Ntouyas (Ioannina)

MSC: 47F05 47E05 35Pxx

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Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.

Nonselfadjoint operators, infinite determinants, and some applications. (English) Zbl 1201.47028

Russ. J. Math. Phys. 12, No. 4, 443-471 (2005); erratum ibid. 27, No. 3, 410 (2020).

MSC: 47B25 35J10 35P05 47A10 47A40 47A55 47F05 81U05

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Solomyak, Michael

Laplace and Schrödinger operators on regular metric trees: The discrete spectrum case. (English) Zbl 1079.34065

Haroske, Dorothee (ed.) et al., Function spaces, differential operators and nonlinear analysis. The Hans Triebel anniversary volume. Based on the lectures given at the international conference on function spaces, differential operators and nonlinear analysis, FSDONA-01, Teistungen, Germany, June 28–July 4, 2001, in honor of the 65th birthday of H. J. Triebel. Basel: Birkhäuser (ISBN 3-7643-6935-3/hbk). 161-181 (2003).

Reviewer: Vyacheslav Pivovarchik (Odessa)

MSC: 34L40 34L20 47E05 58J50

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Barbe, Jacques

Asymptotics of eigenvalues for hypoelliptic Hamiltonians without homogeneity assumptions. (English) Zbl 1002.35093

Math. Nachr. 224, 17-48 (2001).

MSC: 35P20 81Q05 35S05

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Gesztesy, Fritz; Makarov, Konstantin A.

The \(\Xi\) operator and its relation to Krein’s spectral shift function. (English) Zbl 0964.47013

J. Anal. Math. 81, 139-183 (2000).

Reviewer: M.Turinici (Iaşi)

MSC: 47B15 47B40

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Weidl, Timo

Remarks on virtual bound states for semi-bounded operators. (English) Zbl 0926.47009

Commun. Partial Differ. Equations 24, No. 1-2, 25-60 (1999).

MSC: 47A55 47A10 47F05

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Haroske, Dorothee

Some logarithmic function spaces, entropy numbers, applications to spectral theory. (English) Zbl 0906.46027

Diss. Math. 373, 59 p. (1998).

MSC: 46E35 46E30 41A46 35P15 35P20 35J70

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Shen, Zhongwei

On moments of negative eigenvalues for the Pauli operator. (English) Zbl 0912.35139

J. Differ. Equations 149, No. 2, 292-327 (1998).

Reviewer: H.Yamagata (Osaka)

MSC: 35Q40 35P30 47A10

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Haroske, Dorothee

Entropy numbers and approximation numbers in weighted function space of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\), eigenvalue distributions of some degenerate pseudodifferential operators. (English) Zbl 0878.47008

Jena: Univ. Jena, FB Math. viii, 129 p. (1995).

Reviewer: J.L.R.Webb (Glasgow)

MSC: 47B06 46E35 46A16 47G30

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Haroske, Dorothee; Triebel, Hans

Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. II. (English) Zbl 0829.46020

Math. Nachr. 168, 109-137 (1994).

MSC: 46E35 47G30

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Edmunds, D. E.; Triebel, H.

Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. (English) Zbl 0804.35097

Math. Ann. 299, No. 2, 311-340 (1994).

Reviewer: D.E.Edmunds (Sussex)

MSC: 35P15 35P20 46E35 35J70

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Simon, Barry

The Weyl transform and \(L^ p\) functions on phase space. (English) Zbl 0815.46030

Proc. Am. Math. Soc. 116, No. 4, 1045-1047 (1992).

MSC: 46E30 46N50 81T10 46L60

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Lebowitz, Joel L.; Macris, Nicolas; Martin, Philippe A.

Atomic versus ionized states in many-particle systems and the spectra of reduced density matrices: A model study. (English) Zbl 0925.81438

J. Stat. Phys. 67, No. 5-6, 909-956 (1992).

MSC: 81V70 82B10 82D99

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Nicolaenko, B.; Scheurer, B.; Temam, R.

Attractors for the Kuramoto-Sivashinsky equations. (English) Zbl 0596.58024

Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 2, 149-170 (1986).

Reviewer: T.Ding

MSC: 37C70 35Q99

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Holden, Helge

On coupling constant thresholds in two dimensions. (English) Zbl 0593.35031

J. Oper. Theory 14, 263-276 (1985).

Reviewer: J.Ginibre

MSC: 35J10 35P15 47A10 81Q99

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Sigal, I. M.

Geometric parametrices and the many-body Birman-Schwinger principle. (English) Zbl 0543.47044

Duke Math. J. 50, 517-537 (1983).

Reviewer: R.Alicki

MSC: 47F05 35J10 47A10 81Q10

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Found 63 Documents (Results 1–63)

Recent developments in spectral theory for non-self-adjoint Hamiltonians. (English) Zbl 07925343

Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators. (English) Zbl 07835936

Main properties of the Faddeev equation for \(2 \times 2\) operator matrices. (English. Russian original) Zbl 07858839

Spectral analysis of a dynamical system describing the diffusion of neutrons. (English. Russian original) Zbl 07786658

A Birman-Schwinger principle in galactic dynamics: ESI, Vienna, 07–11 February 2022. (English) Zbl 1517.83083

The abstract Birman-Schwinger principle and spectral stability. (English) Zbl 07637560

Spectral enclosures for Dirac operators perturbed by rigid potentials. (English) Zbl 1500.35218

Bounds on eigenvalues of perturbed Lamé operators with complex potentials. (English) Zbl 1511.81049

Eigenvalue bounds for non-selfadjoint Dirac operators. (English) Zbl 1504.35202

Weyl’s laws and Connes’ integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials. (English) Zbl 1486.35445

Bounds on the first Betti number: an approach via Schatten norm estimates on semigroup differences. (English) Zbl 1486.53044

The generalized Birman-Schwinger principle. (English) Zbl 1540.47024

Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. (English) Zbl 1476.35152

A Birman-Schwinger principle in galactic dynamics. (English) Zbl 1475.85002

Spectral properties of soft quantum waveguides. (English) Zbl 1519.81231

Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum. (English. Russian original) Zbl 1458.81023

Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices. (English) Zbl 1453.81029

Erratum to: “Non self adjoint operators, infinite determinants, and some applications”. (English) Zbl 1451.47002

Spectral enclosures for non-self-adjoint discrete Schrödinger operators. (English) Zbl 1439.39012

Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. (English) Zbl 1441.35003

Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. (English) Zbl 1419.35138

Spectral isoperimetric inequalities for singular interactions on open arcs. (English) Zbl 1414.35135

A note on the asymptotic and threshold behaviour of discrete eigenvalues inside the spectral gaps of the difference operator with a periodic potential. (English) Zbl 1403.39015

On the spectrum of an operator in truncated Fock space. (English) Zbl 1402.81151

Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. (English) Zbl 1402.34087

Spectral bounds for singular indefinite Sturm-Liouville operators with \(L^1\)-potentials. (English) Zbl 1396.34052

Spectral stability of Schrödinger operators with subordinated complex potentials. (English) Zbl 1391.35296

Pseudospectra of the Schrödinger operator with a discontinuous complex potential. (English) Zbl 1377.34106

Bound states of a two-boson system on a two-dimensional lattice. (English. Russian original) Zbl 1338.81195

Bound states in waveguides with complex Robin boundary conditions. (English) Zbl 1381.35110

On the eigenvalues of a \(2\times 2\) block operator matrix. (English) Zbl 1329.81181

Embedded eigenvalues of a Hamiltonian in bosonic Fock space. (English) Zbl 1320.81057

Infiniteness of the number of eigenvalues embedded in the essential spectrum of a \(2\times2\) operator matrix. (English) Zbl 1312.81073

Translation-invariant quasi-free states for fermionic systems and the BCS approximation. (English) Zbl 1327.82099

Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum. (English) Zbl 1302.81100

Lower bound states of one-particle Hamiltonians on an integer lattice. (Russian, English) Zbl 1340.81012

Number of eigenvalues of the three-particle Schrödinger operators on lattices. (English) Zbl 1271.81076

The Birman-Schwinger principle on the essential spectrum. (English) Zbl 1244.47014

On the number of eigenvalues of a matrix operator. (English. Russian original) Zbl 1222.47002

Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice. (English. Russian original) Zbl 1196.81123

Spectral theory of some degenerate elliptic operators with local singularities. (English) Zbl 1198.47067

On threshold eigenvalues and resonances for the linearized NLS equation. (English) Zbl 1193.35212

The BCS critical temperature for potentials with negative scattering length. (English) Zbl 1164.81006

Spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1146.81027

Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1131.81007

On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics. (English) Zbl 1126.81022

Bound states of a system of two fermions on a one-dimensional lattice. (English) Zbl 1177.81111

Virtual eigenvalues of the high order Schrödinger operator. I. (English) Zbl 1105.47043

Nonselfadjoint operators, infinite determinants, and some applications. (English) Zbl 1201.47028

Laplace and Schrödinger operators on regular metric trees: The discrete spectrum case. (English) Zbl 1079.34065

Asymptotics of eigenvalues for hypoelliptic Hamiltonians without homogeneity assumptions. (English) Zbl 1002.35093

The \(\Xi\) operator and its relation to Krein’s spectral shift function. (English) Zbl 0964.47013

Remarks on virtual bound states for semi-bounded operators. (English) Zbl 0926.47009

Some logarithmic function spaces, entropy numbers, applications to spectral theory. (English) Zbl 0906.46027

On moments of negative eigenvalues for the Pauli operator. (English) Zbl 0912.35139

Entropy numbers and approximation numbers in weighted function space of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\), eigenvalue distributions of some degenerate pseudodifferential operators. (English) Zbl 0878.47008

Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. II. (English) Zbl 0829.46020

Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. (English) Zbl 0804.35097

The Weyl transform and \(L^ p\) functions on phase space. (English) Zbl 0815.46030

Atomic versus ionized states in many-particle systems and the spectra of reduced density matrices: A model study. (English) Zbl 0925.81438

Attractors for the Kuramoto-Sivashinsky equations. (English) Zbl 0596.58024

On coupling constant thresholds in two dimensions. (English) Zbl 0593.35031

Geometric parametrices and the many-body Birman-Schwinger principle. (English) Zbl 0543.47044

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