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Semi-classical approximation in quantum mechanics

Author: V P Maslov; Mikhail Vasilʹevich Fedori︠u︡k
Publisher: Dordrecht, Holland ; Boston : D. Reidel Pub. Co. : Sold and distributed in the U.S.A. and Canada by Kluwer Boston Inc., ©1981.
Series: Mathematical physics and applied mathematics, v. 7.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics.

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Genre/Form: Halbklassische Approximation
Additional Physical Format: Online version:
Maslov, V.P. (Viktor Pavlovich).
Semi-classical approximation in quantum mechanics.
Dordrecht, Holland ; Boston : D. Reidel Pub. Co. : sold and distributed in the U.S.A. and Canada by Kluwer Boston Inc., ©1981
(OCoLC)610192959
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V P Maslov; Mikhail Vasilʹevich Fedori︠u︡k
ISBN: 9027712190 9789027712196 0927712199 9780927712194
OCLC Number: 8038000
Language Note: Translation of: Kvaziklassicheskoe priblizhenie dli︠︡ uravneniı kvantovoı mekhaniki.
Notes: Translation of: Kvaziklassicheskoe priblizhenie dli︠a︡ uravneniĭ kvantovoĭ mekhaniki.
Includes indexes.
Description: ix, 301 pages ; 23 cm.
Contents: I Quantization of Velocity Field (the Canonical Operator).- 1. The method of Stationary phase. The Legendre Transformation.- 2. Pseudodifferential Operators.- 3. The Hamilton-Jacobi Equation. The Hamilton System.- 4. The Lagrangian Manifolds and Canonical Transformations.- 5. Fourier Transformation of a ?-Pseudo-differential Operator (the Transition to p-Representation).- 6. The Precanonical Operator (Quantization of the Velocity Field in the Small).- 7. The Index of a Curve on a Lagrangian Manifold.- 8. The Canonical Operator (Global Quantization of the Velocity Field).- 9. Global Quantization of the Velocity Field. Higher Approximations.- II Semi-Classical Approximation for Non-Relativistic and Relativistic Quantum Mechanical Equations.- 10. The Cauchy Problem with Rapidly Oscillating Initial Data for Scalar Hamiltonians.- 11. Matrix Hamiltonians.- 12. The Semi-Classical Asymptotics of the Cauchy Problem for the Schrodinger Equation.- 13. The Asymptotic Series for the Eigenvalues (Bohr's Quantization Rule).- 14. Semi-Classical Approximations for the Relativistic Dirac Equation.- References.- Index of Assumptions, Theorems, Etc..
Series Title: Mathematical physics and applied mathematics, v. 7.
Other Titles: Kvaziklassicheskoe priblizhenie dli︠a︡ uravneniĭ kvantovoĭ mekhaniki.
Responsibility: V.P. Maslov and M.V. Fedoriuk ; translated from the Russian by J. Niederle and J. Tolar.

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