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Geometric phases in classical and quantum mechanics

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Published by Birkhäuser in Boston .
Written in English

Subjects:

  • Geometric quantum phases.,
  • Quantum theory.,
  • Mathematical physics.

Book details:

Edition Notes

Includes bibliographical references and index.

StatementDariusz Chruściński, Andrzej Jamiołkowski.
SeriesProgress in mathematical physics -- v. 36
ContributionsJamiołkowski, Andrzej, 1946-.
Classifications
LC ClassificationsQC20.7.G44 C47 2004
The Physical Object
Paginationxii, 332 p. :
Number of Pages332
ID Numbers
Open LibraryOL18639375M
ISBN 10081764282X
LC Control Number2004046278

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The Paperback of the Geometric Phases in Classical and Quantum Mechanics by Dariusz Chruscinski, Andrzej Jamiolkowski | at Barnes & Noble. FREE Due to COVID, orders may be delayed. Geometric Phases in Classical and Quantum Mechanics Dariusz Chruściński, Andrzej Jamiołkowski (auth.) This work examines the beautiful and important physical concept known as the 'geometric phase,' bringing together different physical phenomena under a unified mathematical . This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics . Usually one uses completely different mathematical descriptions to formulate classical and quantum mechanics. Classical theory may be nicely formulated in terms of symplectic geometry, and the.

  The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ‘Berry's phase’) in addition to the usual dynamical phase derived from Schrödinger's equation. Geometric phases in Quantum Mechanics -ARYEH Physics Department, Technion-Israel Institute of Technology, Haifa , Israel Email: [email protected] Various phenomena related to geometric phases in quantum mechanics are reviewed and explained by analyzing some examples. The concepts of 'parallelisms', 'connections' and. Geometric Quantum Mechanics 15 properties of the entangled state given by a superposition of a spin-up electron with a spin-down muon, the spin state being given with respect to some choice of axis. What distinguishes the state space of a pair of spin-1 2 particles is the ex- istence of a . the quantum computer. There the Berry phase offers a possibility to construct fault tolerant quantum gates. The last chapter is dedicated to geometry. After a brief introduction into the concept of differential geometry and the fibre bundles formalism I treat the for-mulation of the Berry phase in this geometrical language. This is a very Cited by: 1.

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame by: 9. Various phenomena related to geometric phases in quantum mechanics are reviewed and explained by analyzing some concepts of 'parallelism','connections' and 'curvatures' are applied to Aharonov-Bohm (AB) effect, to U(1)phase rotation, to SU(2) phase rotation and to holonomic quantum computation. Phase Space Geometry in Classical and Quantum Mechanics John R. Klauder y Departments of Physics and Mathematics University of Florida Gainesville, FL Abstract Phase space is the state space of classical mechanics, and this man-ifold is normally endowed only with a symplectic form. The geometry of quantum mechanics is necessarily more File Size: KB. Buy Geometric Phases in Classical and Quantum Mechanics (Progress in Mathematical Physics) by Dariusz Chruscinski, Andrzej Jamiolkowski (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.