Maslov's canonical operator in abstract spaces

DOI10.1007/BF02675080zbMath0967.81024MaRDI QIDQ1569787

Oleg Yu. Shvedov

Publication date: 3 September 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionssemiclassical approximationevolution equationsphase spaceHilbert bundlecomplex germ

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

Approximations for strongly singular evolution equations ⋮ Maslov complex germ method for systems with second-class constraints ⋮ Relativistically covariant quantum field theory of the Maslov complex germ ⋮ Symmetries of semiclassical gauge systems ⋮ Semiclassical symmetries.

Cites Work

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• General concept of quantization
• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• The chaos conservation problem in quantum physics
• Asymptotic solution to the Schrödinger equation for spin systems
• Some identities for the asymptotics of solutions to abstract equations
• The divergence problem in quantum field theory.

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