Beyond Conventional Quantization (Paperback)

John R. Klauder

ISBN 10: 0521675480 / ISBN 13: 9780521675482

Published by Cambridge University Press, Cambridge, 2005

About this Item

Paperback. This text describes novel treatments of quantum problems using enhanced quantization procedures. When treated conventionally, certain systems yield trivial and unacceptable results. This book describes enhanced procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory, which, when applied to such systems, yield nontrivial and acceptable results. The text begins with a review of classical mechanics, Hilbert space, quantum mechanics, and scalar quantum field theory. Next, analytical skills are further developed, a special class of models is studied, and a discussion of continuous and discontinuous perturbations is presented. Later chapters cover two further classes of models both of which entail discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covariant scalar quantum field theories. Symmetry is repeatedly used as a tool to help develop solutions for simple and complex problems alike. Challenging exercises and detailed references are included. This text describes novel treatments of quantum problems using enhanced quantization procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory. Beginning with a review of classical mechanics, the book goes on to detail Hilbert space, quantum mechanics, and scalar quantum field theory. Later chapters further develop analytical skills, study a special class of models, and present a discussion of continuous and discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covariant scalar quantum field theories. Throughout, symmetry is used as a tool to help develop solutions for simple and complex problems alike. Challenging exercises and detailed references are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521675482

Bibliographic Details

• Title: Beyond Conventional Quantization (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2005
• Language: English
• ISBN 10: 0521675480
• ISBN 13: 9780521675482
• Binding: Paperback
• Condition: new

About this title

Synopsis

This text describes novel treatments of quantum problems using enhanced quantization procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory. Beginning with a review of classical mechanics, the book goes on to detail Hilbert space, quantum mechanics, and scalar quantum field theory. Later chapters further develop analytical skills, study a special class of models, and present a discussion of continuous and discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covariant scalar quantum field theories. Throughout, symmetry is used as a tool to help develop solutions for simple and complex problems alike. Challenging exercises and detailed references are included.

Book Description

This text describes novel treatments of quantum problems using enhanced quantization procedures. Beginning with a review of classical mechanics, Hilbert space, quantum mechanics, and scalar quantum field theory, symmetry is repeatedly used as a tool to help develop solutions for simple and complex problems alike. Challenging exercises and detailed references are included. Requiring only a modest prior knowledge of quantum mechanics and quantum field theory, this book discusses topics outside the scope of a traditional textbook of interest to graduate students and researchers in theoretical physics, mathematical physics, and mathematics.