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Constantinescu F., Magyari E. Problems in Quantum Mechanics (with solutions)

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Constantinescu F., Magyari E. Problems in Quantum Mechanics (with solutions)
Pergamon Press, 1971. – 417 p., OCR
Foreword
A Note on the Layout of this Book
The Mathematical Formalism of Quantum Mechanics
Hilbert Spaces
Operators in Hilbert Space
The Matrix Representation of Vectors and of Operators
Problems
Solutions
Simple Quantum Systems
The Eigenfunctions and the Energy Spectrum
The Transmission of Particles through Potential Barriers
Motion in a Central Field
Problems
Solutions
Mean Values and Uncertainty Relations
The Mean Values of Dynamical Variables
The Uncertainty Relations
Problems
Solutions
The Semi-classical Approximation
The Wavefunction in the WKB Approximation
Formulae for connecting WKB Wavefunctions on Opposite Sides of Turning Points
Problems
Solutions
Pictures and Representations
The Schrodinger, the Heisenberg and the Interaction Pictures
Representations
The Density Operator
Problems
Solutions
Orbital Angular Momentum and Spin
Properties of Angular Momentum Operators
Spin
Angular Momentum and Rotations of Coordinate Axes. The Addition of Angular Momenta
Problems
Solutions
Systems of Identical Particles. Second Quantization
Symmetry and Anti-symmetry of State Vectors
Isotopic Spin
Second Quantization
Problems
Solutions
Perturbation Theory. The Variational Method
Stationary State Perturbation Theory
The Variational Method
Problems
Solutions
Time-dependent Perturbations. Radiation Theory
Time-dependent Perturbations
Radiation
The Interaction of Radiation with Atomic Systems
Problems
Solutions
Collision Theory
Potential Scattering
The Lippmann-Schwinger Equations
Problems
Solutions
Atoms and Molecules
Problems
Solutions
Relattvistic Quantum Mechanics
Definitions, Notation, Conventions
Elements of Relativistic Mechanics
The Klein-Gordon Equation and the Dirac Equation
Problems
Solutions
Appendix, Certain Functions used in Quantum Mechanics
Hermite Polynomials
Legendre Polynomials and the Associated Legendre Functions
Spherical Harmonics
Laguerre Polynomials
The Gamma Function
Bessel Functions of the First Kind
Spherical Bessel Functions
The Hypergeometric Function
The Confluent Hypergeometric Function
General References
Index
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