Leray, Jean Lagrangian analysis and quantum mechanics. A mathematical structure related to asymptotic expansions and the Maslov index. English transl. by Carolyn Schroeder. (English) Zbl 0483.35002 Cambridge, Massachusetts; London: The MIT Press. XIX, 271 p. £24.50 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 41 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 81-02 Research exposition (monographs, survey articles) pertaining to quantum theory 35C20 Asymptotic expansions of solutions to PDEs 35A30 Geometric theory, characteristics, transformations in context of PDEs 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 35Q99 Partial differential equations of mathematical physics and other areas of application 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:Press. XIX, 271 p. Pounds 24.50 (1981); Planck’s constant; phase jumps; amplitude singularities; Maslov’s procedure; Lagrangian analysis; quantum mechanics; Fourier transforms; metaplectic and symplectic groups; Lagrangian differential operators; one-electron atoms in a magnetic field; Dirac equation; magnetic field effects; Paschen-Back effect × Cite Format Result Cite Review PDF