Ebook: Quantum Mechanics: From Basic Principles to Numerical Methods and Applications
- Tags: Quantum Physics, Atomic/Molecular Structure and Spectra, Theoretical and Computational Chemistry
- Series: Advanced Texts in Physics
- Year: 2002
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This advanced text develops first the underlying concepts of quantum mechanics, thus starting with state spaces of finite dimension followed by the representation of coordinates with their principal formal elements, and their applications such as the harmonic oscillator, magnetic momentum, the hydrogen atom, stationary perturbations etc. This fresh and original text on quantum mechanics focuses on: the development of numerical methods for obtaining specific results; the presentation of group theory and the systematic use of operators; the introduction of the functional integral and its applications in approximation; the discussion of distant correlations and experimental measurements. Numerous exercises with hints and solutions, examples and applications, and a guide to key references help the student to work with the text.
Content:
Front Matter....Pages II-XVI
A Crisis in Classical Physics....Pages 1-9
Finite-Dimensional Vector Spaces....Pages 11-30
Finite-Dimensional State Spaces....Pages 31-51
Spin and Magnetic Moment....Pages 53-70
Particle in One Dimension....Pages 71-107
The Interpretation of Quantum Mechanics....Pages 109-125
Particle in Three Dimensions....Pages 127-161
Numerical Solution....Pages 163-181
The Central-Field Model....Pages 183-203
Stationary Perturbations....Pages 205-223
Stationary Scattering States....Pages 225-253
The Density Operator....Pages 255-274
Symmetry of the Hamiltonian....Pages 275-304
Rotations and Angular Momentum....Pages 305-335
Dirac’s Relativistic Equation....Pages 337-359
The Path Integral....Pages 361-389
Atomic Orbitals....Pages 391-411
Atomic Terms and Multiplets....Pages 413-443
Semiclassical Radiation Theory....Pages 445-469
Molecules....Pages 471-498
Back Matter....Pages 525-560
Long-Distance Correlations and Measurement....Pages 499-523
Content:
Front Matter....Pages II-XVI
A Crisis in Classical Physics....Pages 1-9
Finite-Dimensional Vector Spaces....Pages 11-30
Finite-Dimensional State Spaces....Pages 31-51
Spin and Magnetic Moment....Pages 53-70
Particle in One Dimension....Pages 71-107
The Interpretation of Quantum Mechanics....Pages 109-125
Particle in Three Dimensions....Pages 127-161
Numerical Solution....Pages 163-181
The Central-Field Model....Pages 183-203
Stationary Perturbations....Pages 205-223
Stationary Scattering States....Pages 225-253
The Density Operator....Pages 255-274
Symmetry of the Hamiltonian....Pages 275-304
Rotations and Angular Momentum....Pages 305-335
Dirac’s Relativistic Equation....Pages 337-359
The Path Integral....Pages 361-389
Atomic Orbitals....Pages 391-411
Atomic Terms and Multiplets....Pages 413-443
Semiclassical Radiation Theory....Pages 445-469
Molecules....Pages 471-498
Back Matter....Pages 525-560
Long-Distance Correlations and Measurement....Pages 499-523
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