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Semi-classical approximation in quantum mechanics

Semi-classical approximation in quantum mechanics
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Dewey Class 530.12 (DDC)
Title Semi-classical approximation in quantum mechanics / V.P. Maslov and M.V. Fedoriuk ; translated from the Russian by J. Niederle and J. Tolar.
(M)
Author Maslov, Viktor Pavlovich
Added Personal Name Fedorëiìuk, Mikhail Vasil§evich
Publication Boston : Reidel , c1981
Physical Details ix, 301 pages ; 23 cm.
Series Mathematical physics and applied mathematics ; v.7
ISBN 9027712190
Note Translation of: Kvaziklassicheskoe priblizhenie dlëiìa uravneniæi kvantovoæi mekhaniki.
Summary Note 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 Schroedinger 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..:
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