Advanced Quantum Mechanics

Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. As expected in Schwabl's works, the text features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the student to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. This text extends and complements Schwabl's introductory Quantum Mechanics, which covers nonrelativistic quantum mechanics and offers a short treatment of the quantization of the radiation field.

• Dirac equation
• Relativistic fields
• Relativistic quantum mechanics
• Relativistic wave equations
• Second quantization
• quantum mechanics

From the reviews of the second edition:

"This volume is a translation of the current (third) German edition of ‘Quantenmechanik für Fortgeschrittene (QM II)’. … It interfaces nicely with the ‘Quantum Mechanics’ book by the same author … which proved equally popular. … it may be used for self study or as a textbook for a follow--up course by any student with a good grounding in the usual quantum mechanics of a physics curriculum. … The translation is up to standard … . There is an adequate supply of exercises." (Walter Troost, Physicalia, Vol. 57 (3), 2005)

"It is the second edition in English, and is a translation of the third German edition. … this book may actually be the more accessible to an isolated learner, because the various aspects are developed in an unhurried fashion; the author remarks that ‘the inclusion of all mathematical steps and full presentation of intermediate calculations ensures ease of understanding’. … Schwabl’s book would be excellent for those requiring a detailed presentation of the topics … . It includes a substantial number of interesting problems." (A. Whitaker, Journal of Physics A: Mathematical and General, Issue 37, February, 2004)

• Physik-Department, Technische Universität München, Garching, Germany

  Franz Schwabl

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