This book was written as a text, although many may consider it a mono graph. As a text it has been used several times in both the one-year graduate quantum-mechanics course and (in its shortened version) in a senior quantum mechanics course that I taught at the University of Texas at Austin. It is self-contained and does not require any prior knowledge of quantum mechanics. It also introduces the mathematical language of quantum mechanics, starting with the definitions, and attempts to teach this language by using it. Therefore, it can, in principle, be read without prior knowledge of the theory of linear operators and linear spaces, though some familiarity with linear algebra would be helpful. Prerequisites are knowledge of calculus and of vector algebra and analysis. Also used in a few places are some elementary facts of Fourier analysis and differential equations. Most physical examples are taken from the fields of atomic and molecular physics, as it is these fields that are best known to students at the stage when they learn quantum mechanics. This book may be considered a monograph because the presentation here is different from the usual treatment in many standard textbooks on quantum mechanics. It is not that a "different kind" of quantum mechanics is pre sented here; this is conventional quantum mechanics (" Copenhagen inter pretation ").

Quantum Mechanics

Science & Math

Böhm, Arno

Mathematics

Springer

Group theoretical methods in physics: Seventh international colloquium and integrative conference on group theory and mathematical physics, held in ... 11-16, 1978 (Lecture notes in physics)

Beiglbock, W.

Takasugi, E.

Springer, Verlag

Quantum Mechanics: Foundations and Applications (Texts and Monographs in Physics)

This edition differs from the second chiefly in the addition of about tOO pages devoted to the quantum (or geometric, or Berry) phase, a subject that did not exist when this book was written. The changes in the remainder of the book consist of corrections of a small number of misprints. While it may seem that adding two chapters on the quantum phase is overemphasizing a currently fashionable subject, they actually complete the development of quantum theory as given in this book. We start with simple models, synthesizing them into complicated "molecules." With the new chap ters, we end with complicated "molecules," dividing them into simpler parts. This process of dividing a complex system into parts quite naturally gives rise to a gauge theory, of which the geometric phase is a manifestation - with consequences not only in theory, but observable in experiments. For this rea son, the geometric phase is not a mere fashion, but a discovery that will retain its importance forever and must be discussed in textbooks on quantum mechanics. I would like to acknowledge help and advice from Mark Loewe with the writing and also of the new part of the book. In addition, I would like to express my gratitude to J. Anandan, M. Berry, and C.A. Mead, who have read parts or all of the new material and have provided valuable advice.

Quantum Mechanics: Foundations and Applications (Theoretical and Mathematical Physics)

Computers & Technology

This edition differs from the second chiefly in the addition of about 100 pages devoted to the quantum (or geometric, or Berry) phase, a subject that did not exist when this book was written. The changes in the remainder of the book consist of corrections of a small number of misprints. While it may seem that adding two chapters on the quantum phase is overemphasizing a currently fashionable subject, they actually complete the development of quantum theory as given in this book. We start with simple models, synthesizing them into complicated "molecules." With the new chap ters. we end with complicated "molecules," dividing them into simpler parts. This process of dividing a complex system into parts quite naturally gives rise to a gauge theory, of which the geometric phase is a manifestation - with consequences not only in theory, but observable in experiments. For this rea son, the geometric phase is not a mere fashion, but a discovery that will retain its importance forever and must be discussed in textbooks on quantum mechanics. to acknowledge help and advice from Mark Loewe with the I would like writing and also of the new part of the book. In addition, I would like to express my gratitude to J. Anandan, M. Berry, and c.A. Mead, who have read parts or all of the new material and have provided valuable advice.

This text attempts to present the whole range of quantum mechanics, from the fundamental assumptions to the experimental numbers. The author presents a unified theoretical formulation, in which every observable receives the emphasis it deserves for the particular problem being investigated, and includes examples from recent research. Earlier editions of this text have become a standard text and reference work for a generation of physicists. In this third edition, the author has made some alterations and corrections in the previous edition and has added two new chapters: one on quantal phase factors and their consequences (the "Berry phase") and another on the gauge theory of molecular physics.

Physics

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).

The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics (Theoretical and Mathematical Physics)

Mostafazadeh, Ali

Koizumi, Hiroyasu

Niu, Qian

Zwanziger, Josef

Dirac's formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel'fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances.

Dirac Kets, Gamow Vectors and Gel’fand Triplets: The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the ... of Texas at Austin (Lecture Notes in Physics)

Gadella, Manuel

This edition differs from the second chiefly in the addition of about tOO pages devoted to the quantum (or geometric, or Berry) phase, a subject that did not exist when this book was written. The changes in the remainder of the book consist of corrections of a small number of misprints. While it may seem that adding two chapters on the quantum phase is overemphasizing a currently fashionable subject, they actually complete the development of quantum theory as given in this book. We start with simple models, synthesizing them into complicated molecules. With the new chap ters, we end with complicated molecules, dividing them into simpler parts. This process of dividing a complex system into parts quite naturally gives rise to a gauge theory, of which the geometric phase is a manifestation - with consequences not only in theory, but observable in experiments. For this rea son, the geometric phase is not a mere fashion, but a discovery that will retain its importance forever and must

QUANTAM MECHANICS: FOUNDATION AND APPLICATION, 3RD EDITION

SPRINGER (SIE)

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.

Quantum Physics: States, Observables and Their Time Evolution

Kielanowski, Piotr

Mainland, G. Bruce

See the best price to sell, buy, or rent books by Böhm, Arno. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Böhm, Arno

See the best price to sell, buy, or rent books by Böhm, Arno. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Quantum Mechanics

Group theoretical methods in physics: Seventh international colloquium and integrative conference on group theory and mathematical physics, held in ... 11-16, 1978 (Lecture notes in physics)

Quantum Mechanics: Foundations and Applications (Texts and Monographs in Physics)

Quantum Mechanics: Foundations and Applications (Theoretical and Mathematical Physics)

Quantum Mechanics: Foundations and Applications (Texts and Monographs in Physics)

Quantum Mechanics: Foundations and Applications (Texts and Monographs in Physics)

The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics (Theoretical and Mathematical Physics)

Dirac Kets, Gamow Vectors and Gel’fand Triplets: The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the ... of Texas at Austin (Lecture Notes in Physics)

QUANTAM MECHANICS: FOUNDATION AND APPLICATION, 3RD EDITION

Quantum Physics: States, Observables and Their Time Evolution