Published June 15, 2004
by Birkhäuser Boston .
Written in English
|The Physical Object|
|Number of Pages||344|
• Berry's adiabatic phase and its generalization are introduced. • Systematic exposition treats different geometries (e.g., symplectic and metric structures) living on a quantum phase space, in connection with both abelian and nonabelian phases. • Quantum mechanics is presented as classical Hamiltonian dynamics on a projective Hilbert space. Geometric Phases in Classical and Quantum Mechanics This work examines the beautiful and important physical concept known as the 'geometric phase,' bringing together different physical phenomena under a unified mathematical and physical scheme. 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 chevreschevalaosta.com by: 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 can .
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. Jul 01, · 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. Various phenomena related to geometric phases in quantum mechanics are reviewed and explained by analyzing some chevreschevalaosta.com 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 Author: Yacob Ben-Aryeh. 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- .
Read online Geometric phases in classical mechanics - ku book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library, you could find million book here by using search box in the header. Chruściński D., Jamiołkowski A. () Geometric Phases in Action. In: Geometric Phases in Classical and Quantum Mechanics. Progress in Mathematical Physics, vol Author: Dariusz Chruściński, Andrzej Jamiołkowski. Geometric quantum mechanics, however, is not concerned with the quantisation procedure, as such, but accepts quantum theory as given. Indeed, from a modern perspective the nature of the problem has to some extent been reversed, and the main objective now is to understand better how the classical world emerges from quantum chevreschevalaosta.com by: Adiabatic phases in quantum mechanics Adiabatic phases in classical mechanics Geometric approach to classical phases Geometry of quantum evolution Geometric phases in action --A. Classical matric lie groups and algebras --B. Quaternions --Bibliography --Index. Series Title: Progress in mathematical physics, v.