Product integrals and the Schrödinger equation

DOI10.1063/1.523446zbMath0361.34007OpenAlexW2071208772MaRDI QIDQ4134248

John D. Dollard, Charles N. Friedman

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1063/1.523446

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Schrödinger operator, Schrödinger equation (35J10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items

Landau levels of scalar QED in time-dependent magnetic fields, Mixing properties of stochastic quantum Hamiltonians, Spectral and scattering theory for a class of strongly oscillating potentials, Product integration of measures and applications, Asymptotic forms of solutions of certain linear ordinary differential equations, Quasi-linearization of a general self-adjoint Riccati equation, Some Schrödinger operators with dense point spectrum, Continuum calculus. III. Skorohod’s weak distributions in the evaluation of a class of Feynman path integrals, Existence of the Moller wave operators for \(V(\tau)={\lambda\sin (\mu r^\alpha )\over r^\beta}\), Asymptotic behavior of solutions of linear ordinary differential equations, The asymptotic behavior of bound eigenfunctions of Hamiltonians for single-variable systems, Second order linear O.D.E. and Riccati equations, Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators, Operator theory on the WKB method and Bremmer series

Cites Work

• On strong product integration