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savelyev i fundametals theor phys vol 2 quantum mech 1982

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Textbook in PDF format The book was translated from the Russian by G. Leib. The book was first published in 1982, revised from the 1977 Russian edition by Mir Publishers. The present book is the second volume of a guide to theoretical physics. As in the first Volume I have adhered to the rule of omitting what is explained in sufficient detail in modern general courses of physics. In particular, the experimental fundamentals of quantum physics are not discussed. With a view to the fact that the mastering of the mathematical apparatus of quantum mechanics involves great difficulties, I have done everything in my power to make calculations as simple and as clear as possible. For this purpose, special care was taken in choosing the notation. The book is provided with mathematical appendices. Sometimes I refer to the mathematical appendices of Volume 1. The book has been conceived first of all as a training aid for students of non-theoretical specialities of higher educational establishments. Acquaintance with it will facilitate a more detailed studying of the subject with the aid of fundamental guides. Preface Foundations of Quantum Mechanics Introduction State The Superposition Principle The Physical Meaning of the Psi-Function The Schrodinger Equation Probability Flux Density Mathematical Tools of Quantum Mechanics Fundamental Postulates Linear Operators Matrix Representation of Operators The Algebra of Operators The Uncertainty Relation The Continuous Spectrum Dirac Notation Transformation of Functions and Operators from One Representation to Another Eigenvalues and Eigenfunctions of Physical Quantities Operators of Physical Quantities Rules for Commutation of Operators of Physical Quantities Eigenfunctions of the Coordinate and Momentum Operators Momentum and Energy Representation Eigenvalues and Eigenfunctions of tho Angular Momentum Operator Parity Time Dependence of Physical Quantities The Time Derivative of an Operator Time Dependence of Matrix Elements Motion of a Particle in Force Fields A Particle in a Central Force Field An Electron in a Coulomb Field. The Hydrogen Atom The Harmonic Oscillator Solution of the Harmonic Oscillator Problem in the Matrix Form Annihilation and Creation Operators Perturbation Theory Introduction Time-Independent Perturbations Case of Two Close Levels DegenerateCase Examples of Application of tho Stationary Perturbation Theory Time-Dependent Perturbations Perturbations Varying Harmonically with Time Transitions in a Continuous Spectrum Potential Energy as a Perturbation The Quasiclassical Approximation The Classical Limit Boundary Conditions at a Turning Point Bohr-Sommerfeld Quantization Rule Penetration of a Potential Barrier Semiempirical Theory of Particles with Spin Psi-Function of a Particle with Spin Spin Operators Eigenvalues and Eigenfunctions of Spin Operators Spinors 205 Systems Consisting of Identical Particles Principle of Indistinguishability of Identical Particles Psi-Functions for Systems of Particles. The Pauli Principle Summation of Angular Momenta Psi-Function of System of Two Particles Having a Spin of 1/2 Exchange Interaction Second Quantization Second Quantization Applied to Bosons Second Quantization Applied to Fermions Atoms and Molecules Methods of Calculating Atomic Systems The Helium Atom The Variation Method The Method or the Self-Consistent Field The Thomas-Fermi Method The Zeeman Effect The Theory of Molecules in the Adiabatic Approximation The Hydrogen Molecule Radiation Theory 291 Quantization of an Electromagnetic Field Interaction of an Electromagnetic Field with a Charged Particle One-Photon Processes Dipole Radiation Selection Rules Scattering Theory Scattering Cross Section Scattering Amplitude Born Approximation Method of Partial Waves Inelastic Scattering Appendices Angular Momentum Operators in Spherical Coordinates Spherical Functions Chebyshev-Hermite Polynomials Some Information from the Theory of Functions of a Complex Variable Airy Function Method of Green's Functions Solution of the Fundamental Equation of the Scattering Theory by the Method of Green's Functions The Dirac Delta Function Index

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Savelyev I. Fundametals of Theor. Phys. Vol 2. Quantum Mech.1982.pdf 17.1 MB

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savelyev i fundametals theor phys vol 2 quantum mech 1982