Quantum Mechanics: Non-Relativistic TheoryQuantum Mechanics, Third Edition: Non-relativistic Theory is devoted to non-relativistic quantum mechanics. The theory of the addition of angular momenta, collision theory, and the theory of symmetry are examined, together with spin, nuclear structure, motion in a magnetic field, and diatomic and polyatomic molecules. This book is comprised of 18 chapters and begins with an introduction to the basic concepts of quantum mechanics, with emphasis on the uncertainty principle, the principle of superposition, and operators, as well as the continuous spectrum and the wave function. The following chapters explore energy and momentum; Schrödinger's equation; angular momentum; and motion in a centrally symmetric field and in a magnetic field. Perturbation theory, spin, and the properties of quasi-classical systems are also considered. The remaining chapters deal with the identity of particles, atoms, and diatomic and polyatomic molecules. The final two chapters describe elastic and inelastic collisions. This monograph will be a valuable source of information for physicists. |
Contents
1 | |
25 | |
50 | |
CHAPTER 4 ANGULAR MOMENTUM | 82 |
CHAPTER 5 MOTION IN A CENTRALLY SYMMETRIC FIELD | 102 |
CHAPTER 6 PERTURBATION THEORY | 133 |
CHAPTER 7 THE QUASICLASSICAL CASE | 164 |
CHAPTER 8 SPIN | 197 |
CHAPTER 12 THE THEORY OF SYMMETRY | 354 |
CHAPTER 13 POLYATOMIC MOLECULES | 396 |
CHAPTER 14 ADDITION OF ANGULAR MOMENTA | 431 |
CHAPTER 15 MOTION IN A MAGNETIC FIELD | 453 |
CHAPTER 16 NUCLEAR STRUCTURE | 472 |
CHAPTER 17 ELASTIC COLLISIONS | 502 |
CHAPTER 18 INELASTIC COLLISIONS | 591 |
MATHEMATICAL APPENDICES | 647 |
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Quantum Mechanics: Non-Relativistic Theory L D Landau,Evgeniĭ Mikhaĭlovich Lifshit︠s︡ Limited preview - 1991 |
Common terms and phrases
according angle angular momentum applied approximation atom axis becomes calculated called classical coefficients compared complex components condition consider constant contains continuous coordinates corresponding cross-section defined definite denote dependence derived determined diagonal direction distances effect eigenvalues elastic scattering electron energy energy levels equal equation expression fact factor field find finite first follows formula given gives Hamiltonian Hence independent infinite integral interaction irreducible levels limit linear magnetic matrix elements means measurement molecule motion normal nucleons nucleus obtain operator orbital particles particular perturbation physical plane positive possible potential probability PROBLEM properties quantity quantum mechanics reduced reflection regarded region relation representation respect result rotation rule scattering amplitude solution spectrum spin spinor Substituting symmetry taken theory transformation transition unit values variables vector wave function write written zero