Raphael Hoegh-Krohn's Books

Solvable Models in Quantum Mechanics

By: Sergio Albeverio,Friedrich Gesztesy,Raphael Hoegh-Krohn,Helge Holden

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Solvable Models in Quantum Mechanics

By: Sergio Albeverio,Friedrich Gesztesy,Raphael Hoegh-Krohn,Helge Holden

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.

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Page Count

458

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642882013

ISBN 13

9783642882012

Noncommutative Distributions

Unitary Representation of Gauge Groups and Algebras

By: Sergio Albeverio,Raphael J. Hoegh-Krohn,Jean A. Marion,D. Testard,B. Torresani

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Noncommutative Distributions

Unitary Representation of Gauge Groups and Algebras

By: Sergio Albeverio,Raphael J. Hoegh-Krohn,Jean A. Marion,D. Testard,B. Torresani

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary st

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Page Count

207

Publisher

CRC Press

Published Date

ISBN 10

1482277573

ISBN 13

9781482277579

Mathematical Theory of Feynman Path Integrals

By: Sergio A. Albeverio,Raphael J. Høegh-Krohn

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Mathematical Theory of Feynman Path Integrals

By: Sergio A. Albeverio,Raphael J. Høegh-Krohn

Feynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information.

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Page Count

143

Publisher

Springer

Published Date

ISBN 10

354038250X

ISBN 13

9783540382508

Book's by Raphael Hoegh-Krohn

Solvable Models in Quantum Mechanics

Solvable Models in Quantum Mechanics

Noncommutative Distributions

Noncommutative Distributions

Mathematical Theory of Feynman Path Integrals

Mathematical Theory of Feynman Path Integrals

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