Quantum Physics
States, Observables and Their Time Evolution
Buch in deiner Nähe kaufen
Beschreibung
This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.
Extensive sets of problems at the end of each chapter Key ideas summarized at the end of each chapter An elementary mathematical tutorial forms a useful appendix The sections “Precession of a Spinning Particle in a Magnetic Field” and “Magnetic Resonance” can be used as introduction to nuclear magnetic resonance Written by the author of the classic book “Quantum Mechanics: Foundations and Applications”, Springer, published in three editions: 1979, 1986, 1993
Autor*in
Arno Bohm
Themen in »Quantum Physics«
Quantum harmonic oscillator Heisenberg uncertainty principle Dipole radiation Einstein coefficients Rigid dumbbell Diatomic molecule Quantum mechanics textbook Rotating dumbbell Clebsch Gordan theorem Wigner Eckart theorem Quantum rotator Pertubation theory Stark effect Schroedinger equation Heisenberg equation