Estimates on functional integrals of quantum mechanics and non-relativistic quantum field theory

DOI10.1007/s00220-017-2834-9zbMath1359.81115arXiv1512.00356OpenAlexW2184114385MaRDI QIDQ514284

Gonzalo A. Bley, Lawrence E. Thomas

Publication date: 1 March 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00356

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Atomic physics (81V45) Stochastic integrals (60H05)

Related Items (5)

Effective mass of the polaron -- revisited ⋮ A lower bound on the renormalized Nelson model ⋮ On Nelson-type Hamiltonians and abstract boundary conditions ⋮ Absence of binding in the Nelson and piezoelectric polaron models ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field

Cites Work

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• The Malliavin Calculus and Related Topics
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Exact asymptotic behavior of the Pekar–Tomasevich functional
• Singular Potentials
• Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations
• Slow Electrons in a Polar Crystal

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