Quantum Physics

States, Observables and Their Time Evolution

Arno Bohm, Piotr Kielanowski, G. Bruce Mainland (Autoren)

Buch | Hardcover

353 Seiten

2019 | 1st ed. 2019
Springer (Verlag)
978-94-024-1758-6 (ISBN)

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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.

Professor Arno Bohm, Universtiy of Texas, Austin, IX, USAProfessor Piotr Kielanowski, CINEVESTAV, Mexico City, MexicoProfessor G. Bruce Mainland, Ohio State University, Columbus, OH, USA

Quantum Harmonic Oscillator.- Angular Momentum.- Combinations of Quantum Physical Systems.- Stationary Perturbation Theory.- Time Evolution of Quantum Systems.- Epilogue.- Appendix: Mathematical Preliminaries.- Index.

Erscheinungsdatum	06.07.2019
Zusatzinfo	48 Illustrations, black and white; IX, 353 p. 48 illus.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Clebsch Gordan theorem • diatomic molecule • Dipole radiation • Einstein coefficients • Franck-Hertz experiment • Heisenberg equation • Heisenberg uncertainty principle • linear operator • Magnetic Resonance • pertubation theory • quantum harmonic oscillator • Quantum Mechanics Textbook • Quantum rotator • Rigid dumbbell • Rotating dumbbell • Schroedinger equation • Stark Effect • Wigner Eckart theorem
ISBN-10	94-024-1758-3 / 9402417583
ISBN-13	978-94-024-1758-6 / 9789402417586
Zustand	Neuware