Albert Messiah Knihy

"Strongly recommended" by the American Journal of Physics, this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty relations, and the mathematical framework and physical content of formalism. The second half opens with an exploration of symmetries and invariance, including a consideration of angular momentum, identical particles and the Pauli exclusion principle, invariance and conservation laws, and time reversal. Methods of approximation include those involving stationary perturbations, the equation of motion, variational method, and collision theory. The final chapters review the elements of relativistic quantum mechanics, and each of the two volumes concludes with useful appendixes.

Simple enough for students, comprehensive enough to serve as a reference for professionals. Subjects include formalism and its interpretation, an analysis of simple systems, symmetries and invariance, methods of approximation, elements of relativistic quantum mechanics, much more. "Strongly recommended." — American Journal of Physics.

Frontmatter -- Erster Teil Der Formalismus und seine Deutung -- 1 Die Ursprünge der Quantentheorie Einleitung -- 2 Materiewellen und Schrödinger-Gleichung -- 3 Eindimensionale Quantensysteme -- 4 Statistische Deutung des Welle-Teilchen-Dualismus und Unschärferelationen -- 5 Der Formalismus der Wellenmechanik und seine Deutung -- 6 Klassische Näherung und WKB-Methode -- 7 Der allgemeine Formalismus der Quantentheorie Der mathematische Rahmen -- 8 Der allgemeine Formalismus der Quantentheorie Die Beschreibung der physikalischen Erscheinungen -- Zweiter Teil Einfache Systeme -- 9 Lösung der Schrödinger-Gleichung durch Trennung der Variablen Zentralpotential -- 10 Streuprobleme. Zentralpotential und Streuphasenmethode -- 11 Die Coulomb-Wechselwirkung -- 12 Der harmonische Oszillator -- Anhang -- A Distributionen, d-"Funktion" und Fourier-Transformation -- B Spezielle Funktionen und damit zusammenhängende Formeln -- Index zu Band 1 -- Backmatter