Operator methods in quantum mechanics
By: Schechter, Martin.
Material type:
BookSeries: Dover books on physics. Publisher: New York Dover Publications 1981Description: xx, 324p.ISBN: 0486425479,; 9780486425474.Subject(s): Operator theory | Quantum theoryDDC classification: 515.724 | Sch21o Summary: This advanced undergraduate and graduate-level text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background in physics. The author presents a few simple postulates describing quantum theory, gradually introducing the mathematical techniques that help answer questions important to the physical theory; in this way, readers see clearly the purpose of the method and understand the accomplishment. The entire book is devoted to the study of a single particle moving along a straight line. By posing questions about the particle, the text gradually leads readers into the development of mathematical techniques that provide the answers. Lebesgue integration theory and complex variables are sometimes involved, but most of the book can be understood without them. Exercises at the end of each chapter provide helpful reinforcement.
| Item type | Current location | Collection | Call number | url | Copy number | Status | Date due | Barcode | Item holds |
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PK Kelkar Library, IIT Kanpur | COMPACT STORAGE (BASEMENT) | 515.724 Sch21o cop.1 (Browse shelf) | Book Request | Copy.1 | Available | A69221 | ||
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PK Kelkar Library, IIT Kanpur | General Stacks | 515.724 Sch21o cop.2 (Browse shelf) | Copy.2 | Available | GB2750 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: COMPACT STORAGE (BASEMENT) Close shelf browser
| 515.724 Op28o Operator algebras, operator theory and applications | 515.724 Op6 Operator theory, pseudo-differential equations and mathematical physics | 515.724 P842 POSITIVE SEMIGROUPS OF OPERATORS, AND APPLICATIONS | 515.724 Sch21o cop.1 Operator methods in quantum mechanics | 515.724 Sch56u Unbounded self-adjoint operators on Hilbert space | 515.724 Sch75o OPERATOR INEQUALITIES | 515.724 St29 A state space approach to canonical factorization with applications |
Bibliography : P. 319-321
This advanced undergraduate and graduate-level text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background in physics. The author presents a few simple postulates describing quantum theory, gradually introducing the mathematical techniques that help answer questions important to the physical theory; in this way, readers see clearly the purpose of the method and understand the accomplishment. The entire book is devoted to the study of a single particle moving along a straight line. By posing questions about the particle, the text gradually leads readers into the development of mathematical techniques that provide the answers. Lebesgue integration theory and complex variables are sometimes involved, but most of the book can be understood without them. Exercises at the end of each chapter provide helpful reinforcement.
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