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Semi-classical approximation in quantum mechanics
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Catalogue Information
Field name
Details
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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Subject References:
Approximation theory
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Quanta, théorie des
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Quantum theory
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Authors:
Maslov, Viktor Pavlovich
.
Fedorëiìuk, Mikhail Vasil§evich
.
Maslov, Viktor Pavlovich
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See Also:
Maslov, Victor P.
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Maslov, Victor P.
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Series:
Mathematical physics and applied mathematics
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Classification:
530.12 (DDC)
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Catalogue Information 13245
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00000000055046
530.145 MAS
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