Found 194 Documents (Results 1–100)
Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator. (English) Zbl 07839873
Conservative \(EQ_1^{\operatorname{rot}}\) nonconforming FEM for nonlinear Schrödinger equation with wave operator. (English) Zbl 1531.65181
Estimates for negative eigenvalues of Schrödinger operators on unbounded fractal spaces. (English) Zbl 07785458
Uniform error bound of an exponential wave integrator for long-time dynamics of the nonlinear Schrödinger equation with wave operator. (English) Zbl 1527.65104
A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold. (English) Zbl 1535.35186
Reviewer: Zehua Zhao (Beijing)
Basic properties of solutions of boundary value problem for the Dirac-wave operator. (English) Zbl 1522.35431
On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case. (English) Zbl 1527.65087
A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator. (English) Zbl 1540.65348
An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator. (English) Zbl 1540.65269
Scattering for Schrödinger operators with potentials concentrated near a subspace. (English) Zbl 07662349
Reviewer: Davide Fermi (Roma)
The \(W^{s,p}\)-boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential. (English) Zbl 1519.35079
Reviewer: Michael Perelmuter (Kyïv)
Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 07654111
On concave perturbations of a periodic elliptic problem in R2 involving critical exponential growth. (English) Zbl 1498.35299
The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation. arXiv:2312.15126
Preprint, arXiv:2312.15126 [quant-ph] (2023).
On a planar Schrödinger-Poisson system involving a non-symmetric potential. (English) Zbl 1511.35150
On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator. (English. Russian original) Zbl 1507.35219
Math. Notes 112, No. 5, 726-740 (2022); translation from Mat. Zametki 112, No. 5, 752-769 (2022).
Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator. (English) Zbl 1504.65213
Asymptotic dynamics of certain solutions for an extended nonlinear Gross-Pitaevskii equation with critical nonlinear damping in \(\mathbb{R}^3\). (English) Zbl 1504.35463
J. Math. Anal. Appl. 516, No. 2, Article ID 126558, 26 p. (2022); corrigendum ibid. 518, No. 1, Article ID 126754, 1 p. (2023).
Irreducibility of the Bloch variety for finite-range Schrödinger operators. (English) Zbl 1507.81093
Construction and numerical assessment of local absorbing boundary conditions for heterogeneous time-harmonic acoustic problems. (English) Zbl 1486.35488
A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1486.65111
Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator. (English) Zbl 1501.65031
An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1480.65285
The Talbot effect as the fundamental solution to the free Schrödinger equation. (English) Zbl 1477.35204
A linearized energy-conservative scheme for two-dimensional nonlinear Schrödinger equation with wave operator. (English) Zbl 1510.65213
Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator. (English) Zbl 1524.65326
Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. (English) Zbl 1480.35358
Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator. (English) Zbl 1476.65241
The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics. arXiv:2101.07876
Preprint, arXiv:2101.07876 [quant-ph] (2021).
Well-posedness of a Schrödinger-Poisson model describing nonlinear chiral effects. (English) Zbl 1450.35227
Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II: The Pauli Hamiltonian. (English) Zbl 1448.35421
Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology. (English) Zbl 1440.85003
Limiting absorption principle and scattering matrix for Dirac operators with \(\delta\)-shell interactions. (English) Zbl 1439.81037
An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations. (English) Zbl 1439.65046
Reviewer: Georg Hebermehl (Berlin)
Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. (English) Zbl 1433.35065
On a logarithmic Hartree equation. (English) Zbl 1435.35132
Reviewer: Giovanni Anello (Messina)
Complex plane representations and stationary states in cubic and quintic resonant systems. (English) Zbl 1509.35256
Determining a random Schrödinger equation with unknown source and potential. (English) Zbl 1419.35185
Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation. (English) Zbl 1423.35089
Reviewer: Andreas Kleefeld (Jülich)
Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement. (English) Zbl 1440.93111
Wave and Dirac equations on manifolds. (English) Zbl 1417.83003
Brüning, Jochen (ed.) et al., Space – time – matter. Analytic and geometric structures. Berlin: De Gruyter. 324-348 (2018).
A course on partial differential equations. (English) Zbl 1415.35002
Graduate Studies in Mathematics 197. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4292-7/hbk; 978-1-4704-5057-1/ebook). ix, 205 p. (2018).
Reviewer: Cristian Chifu (Cluj-Napoca)
The Schrödinger formalism of electromagnetism and other classical waves – how to make quantum-wave analogies rigorous. (English) Zbl 1398.35227
Phaseless inverse problems that use wave interference. (English. Russian original) Zbl 1400.35233
Sib. Math. J. 59, No. 3, 494-504 (2018); translation from Sib. Mat. Zh. 59, No. 3, 626-638 (2018).
Reviewer: Tommi Brander (Trondheim)
Fourth-order wave equation in Bhabha-Madhavarao spin-\(\frac{3}{2}\) theory. (English) Zbl 1383.81084
Reviewer: Heinz Siedentop (München)
Existence of positive solutions for a Schrödinger-Poisson system with bounded potential and weighted functions in \(\mathbb{R}^{3}\). (English) Zbl 1377.35070
Separation equations for 2D superintegrable systems on constant curvature spaces. (English) Zbl 1375.81129
Walk on spheres algorithm for Helmholtz and Yukawa equations via Duffin correspondence. (English) Zbl 1371.65131
A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1370.65050
Generalized boundary triples, Weyl functions and inverse problems. arXiv:1706.07948
Preprint, arXiv:1706.07948 [math.FA] (2017).
Conformal Laplace superintegrable systems in 2D: polynomial invariant subspaces. (English) Zbl 1346.81050
An overview of periodic elliptic operators. (English) Zbl 1346.35170
Reviewer: Boris A. Malomed (Tel Aviv)
Fourth-moment analysis for wave propagation in the white-noise paraxial regime. (English) Zbl 1339.35289
Reviewer: Anthony D. Osborne (Keele)
Multi-symplectic preserving integrator for the Schrödinger equation with wave operator. (English) Zbl 1443.65144
Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1334.65154
Reviewer: Gisbert Stoyan (Budapest)
\(L^p-L^q\) estimates for electromagnetic Helmholtz equation. singular potentials. (English) Zbl 1316.35273
Cherednik-Sobolev spaces and applications. (English) Zbl 1331.46024
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions. (English) Zbl 1322.35135
Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2007, Article ID 20120521, 11 p. (2014).
Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1339.35279
Reviewer: Yvan Martel (Palaiseau)
Curvature-induced bound states in Robin waveguides and their asymptotical properties. (English) Zbl 1315.81045
Reviewer: Josipa Pina Milišić (Zagreb)
Book review of: H. Han and X. Wu, Artificial boundary method. (English) Zbl 1306.00011
MSC:
00A17
65N38
76M15
65-02
65N30
35J05
35J25
76D05
65M38
35K05
35Q41
65N15
65M15
35L05
35Q40
35Q53
65N12
65M12
65M06
Chaos in microwave resonators. (English) Zbl 1319.81048
Duplantier, Bertrand (ed.) et al., Chaos. Poincaré seminar 2010. Proceedings, Paris, France, June 5, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0696-1/hbk; 978-3-0348-0697-8/ebook). Progress in Mathematical Physics 66, 169-191 (2013).
The forward problem for the electromagnetic Helmholtz equation with critical singularities. (English) Zbl 1284.35144
Artificial boundary method. (English) Zbl 1277.65105
Berlin: Springer; Beijing: Tsinghua University Press (ISBN 978-3-642-35463-2/hbk; 978-7-302-30390-9/hbk; 978-3-642-35464-9/ebook). viii, 423 p. (2013).
Reviewer: Andreas Kleefeld (Cottbus)
MSC:
65N38
76M15
65-02
65N30
35J05
35J25
76D05
65M38
35K05
35Q41
65N15
65M15
35L05
35Q40
35Q53
65N12
65M12
65M06
On embedded bound states of unitary operators and their regularity. (English) Zbl 1275.47134
Reviewer: Rafael Tiedra de Aldecoa (Santiago)
Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables. (English) Zbl 1291.35244
Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1246.35188
The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces. (English) Zbl 1258.35152
Reviewer: Raymond Johnson (Houston)
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. (English) Zbl 1238.81120
Reconstructing initial data using observers: Error analysis of the semi-discrete and fully discrete approximations. (English) Zbl 1235.65082
Reviewer: Pavol Chocholatý (Bratislava)
Introduction to electromagnetism. (English) Zbl 1255.78001
Schilders, W. H. A. (ed.) et al., Essential numerical methods in electromagnetics. A derivative handbook of numerical analysis. Special volume: Numerical methods in electromagnetics. Volume XIII. Amsterdam: Elsevier (ISBN 978-0-444-53756-0/hbk). 1-101 (2011).
Reviewer: Georg Hebermehl (Berlin)
Symmetry and separation of variables. With a foreword by Richard Askey. Reprint of the 1977 hardback ed. (English) Zbl 1223.35006
Encyclopedia of Mathematics and its Applications 4. Cambridge: Cambridge University Press (ISBN 978-0-521-17739-9/pbk). xxx, 285 p. (2011).
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. (English) Zbl 1210.65155
Semi-classical behaviour of Schrödinger’s dynamics: revivals of wave packets on hyperbolic trajectory. (English) Zbl 1221.81072
Reviewer: Mihai Pascu (Bucureşti)
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