A phase-space technique for the perturbation expansion of Schrödinger propagators

DOI10.1063/1.531305zbMath0824.35103OpenAlexW2026183856MaRDI QIDQ4837333

Yuri V. Gusev, T. A. Osborn, Andrei O. Barvinsky

Publication date: 12 November 1995

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

Full work available at URL: https://doi.org/10.1063/1.531305

zbMATH Keywords

Dyson seriessemiclassical approximationsgauge invariant large mass expansionperturbation theory for Schrödinger and heat equationsshort time Schwinger-De Witt expansion

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (4)

A new algebraic approach for calculating the heat kernel in quantum gravity ⋮ Cataloguing general graphs by point and line spectra ⋮ Estimation of the Schrödinger operator Green's function ⋮ On Convergence of the Schwinger–De Witt Expansion

Cites Work

• Gauge invariant asymptotic expansion of Schrödinger propagators on manifolds
• Global, uniform, asymptotic wave-equation solutions for large wavenumbers
• Transit time measures in scattering theory
• Multi-scale semiclassical approximations for Schrödinger propagators on manifolds
• The semiclassical expansion
• Tree graphs and the solution to the Hamilton–Jacobi equation
• The semi-classical expansion for a charged particle on a curved space background
• Semi-classical mechanics in phase space: A study of Wigner’s function
• An asymptotic analysis of quantum evolution with electromagnetic fields
• Exponential cluster solutions to quantum transport equations
• The basis of nonlocal curvature invariants in quantum gravity theory. Third order
• On Gauge Invariance and Vacuum Polarization
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

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