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MARC 21

Semi-classical approximation in quantum mechanics
Tag	Description
020	$a9027712190
080	$a530.145
082	$a530.12 (DDC)
099	$a530.145 MAS
100	$aMaslov, Viktor Pavlovich
240	$aKvaziklassicheskoe priblizhenie dlëiìa uravneniæi kvantovoæi mekhaniki$lEnglish
245	$aSemi-classical approximation in quantum mechanics$cV.P. Maslov and M.V. Fedoriuk ; translated from the Russian by J. Niederle and J. Tolar.
245	$hM
260	$aBoston$bReidel$cc1981
300	$aix, 301 pages$c23 cm.
440	$aMathematical physics and applied mathematics$vv.7
500	$aTranslation of: Kvaziklassicheskoe priblizhenie dlëiìa uravneniæi kvantovoæi mekhaniki.
504	$aBibliography: p. 290-294.Includes indexes.
520	$aI 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..
700	$aFedorëiìuk, Mikhail Vasil§evich