Found 77 Documents (Results 1–77)
Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. (English) Zbl 1541.81057
Ground states for translationally invariant Pauli-Fierz models at zero momentum. (English) Zbl 1515.81217
Absence of ground states in the renormalized massless translation-invariant Nelson model. (English) Zbl 1513.81100
Coulomb scattering in the massless Nelson model IV. Atom-electron scattering. (English) Zbl 1513.81123
Mathematical analysis of quantum fields – historical survey and a new asymptotic perturbation theory. (English. Japanese original) Zbl 1468.81068
Sugaku Expo. 34, No. 1, 93-121 (2021); translation from Sūgaku 69, No. 3, 255-279 (2017).
Curing velocity superselection in non-relativistic QED by restriction to a lightcone. (English) Zbl 1447.81158
Absence of ground states in the translation invariant massless Nelson model. (English) Zbl 1447.81159
Relative normalizers of automorphism groups, infravacua and the problem of velocity superselection in QED. (English) Zbl 1428.81111
Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance. (English) Zbl 1416.81222
Coulomb scattering in the massless Nelson model. II: Regularity of ground states. (English) Zbl 1414.81261
Reviewer: Miyeon Kwon (Platteville)
Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026
Reviewer: Boris A. Malomed (Tel Aviv)
Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. (English) Zbl 1386.81118
Coulomb scattering in the massless Nelson model. III: Ground state wave functions and non-commutative recurrence relations. (English) Zbl 1391.81208
Reviewer: Miyeon Kwon (Platteville)
From Faddeev-Kulish to LSZ. Towards a non-perturbative description of colliding electrons. (English) Zbl 1375.81239
Spectral analysis of a model for quantum friction. (English) Zbl 1375.81095
Reviewer: Wolfgang G. Hollik (Hamburg)
Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. (English) Zbl 1366.81317
Rigorous results concerning the Holstein-Hubbard model. (English) Zbl 1361.82036
Reviewer: Vicenţiu D. Rădulescu (Craiova)
The infrared problem in QED: a lesson from a model with Coulomb interaction and realistic photon emission. (English) Zbl 1355.81163
Reviewer: Daniel A. Dubin (Milton Keynes)
On the probabilistic nature of quantum mechanics and the notion of closed systems. (English) Zbl 1339.81009
Reviewer: T. C. Mohan (Chennai)
Quantum electrodynamics of atomic resonances. (English) Zbl 1318.81059
Reviewer: Eugene Kryachko (Liège)
Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field. (English) Zbl 1300.81084
On Rayleigh scattering in non-relativistic quantum electrodynamics. (English) Zbl 1315.81105
Reviewer: Markus Fröb (Leipzig)
Coulomb scattering in the massless Nelson model. I. Foundations of two-electron scattering. (English) Zbl 1301.81316
Reviewer: Miyeon Kwon (Platteville)
Equivalence of two definitions of the effective mass of a polaron. (English) Zbl 1295.81055
Reviewer: T. C. Mohan (Chennai)
Ultraviolet properties of the spinless, one-particle Yukawa model. (English) Zbl 1302.81167
Reviewer: Serban Misicu (Bucureşti)
The mass shell in the semi-relativistic Pauli-Fierz model. (English) Zbl 1294.81047
Reviewer: Josipa Pina Milisic (Zagreb)
Monotonicity of the polaron energy. II: General theory of operator monotonicity. (English) Zbl 1281.82029
Effective dynamics of an electron coupled to an external potential in non-relativistic QED. (English) Zbl 1275.81091
Reviewer: Vasily Pestun (Princeton)
Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state. (English) Zbl 1269.81223
Towards a construction of inclusive collision cross-sections in the massless Nelson model. (English) Zbl 1252.81121
Infraparticles with superselected direction of motion in two-dimensional conformal field theory. (English) Zbl 1245.81236
Analyticity of the ground state energy for massless Nelson models. (English) Zbl 1256.81076
Reviewer: Martin Schlichenmaier (Luxembourg)
Local decay in non-relativistic QED. (English) Zbl 1237.81125
Reviewer: T. C. Mohan (Dehra Dun)
MSC:
81V10
Absence of embedded mass shells: Cerenkov radiation and quantum friction. (English) Zbl 1213.81166
Reviewer: Gert Roepstorff (Aachen)
MSC:
81T10
Quantitative estimates on the binding energy for hydrogen in non-relativistic QED. (English) Zbl 1214.81354
Reviewer: Eugene Kryachko (Liège)
Kramers degeneracy theorem in nonrelativistic QED. (English) Zbl 1183.47078
Reviewer: Miyeon Kwon (Platteville, WI)
Existence and nonexistence of a ground state for the massless Nelson model under binding condition. (English) Zbl 1184.81139
Reviewer: T. C. Mohan (Dehra Dun)
Absence of ground states for a class of translation invariant models of non-relativistic QED. (English) Zbl 1143.81022
MSC:
81V10
Infrared renormalization in non-relativistic QED and scaling criticality. (English) Zbl 1141.81025
Reviewer: T. C. Mohan (Dehra Dun)
Infrared catastrophe for Nelson’s model – non-existence of ground state and soft-boson divergence. (English) Zbl 1117.81097
Asymptotic completeness for Compton scattering. (English) Zbl 1103.81035
Reviewer: Vjacheslav Yurko (Saratov)
Asymptotic electromagnetic fields in models of quantum-mechanical matter interacting with the quantized radiation field. (English) Zbl 0989.78001
Ground states and spectrum of quantum electrodynamics of nonrelativistic particles. (English) Zbl 0978.81022
Reviewer: Michael Perelmuter (Kyïv)
On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff. (English) Zbl 0997.47061
Reviewer: Chandra Shekhar Sharma (London)
Quantum electrodynamics of confined nonrelativistic particles. (English) Zbl 0923.47040
Reviewer: Michael Demuth (Clausthal)
On the existence and uniqueness of ground states of a generalized spin-boson model. (English) Zbl 0898.47048
Reviewer: T.Ichinose (Kanazawa)
Resonant decay of a two state atom interacting with a massless non- relativistic quantised scalar field. (English) Zbl 0815.47081
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