Semi-Classical Approximation in Quantum Mechanics
Springer-Verlag New York Inc.
978-1-4020-0306-6 (ISBN)
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..
Reihe/Serie | Mathematical Physics and Applied Mathematics ; 7 |
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Zusatzinfo | X, 302 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 1-4020-0306-4 / 1402003064 |
ISBN-13 | 978-1-4020-0306-6 / 9781402003066 |
Zustand | Neuware |
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