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Author:   Victor P. Maslov ,  M.V. Fedoriuk
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1981
Volume:   7
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.980kg
ISBN:  

9781402003066

ISBN 10:   1402003064
Pages:   302
Publication Date:   30 November 2001
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of 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 Schrödinger 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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