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Author  Title  Accn#  Year  Item Type  Claims 
1 
Bryan J. Dalton 
Phase space methods for degenerate quantum gases 
OB1495 
2014 
eBook 

2 
Claudine Hermann 
Statistical physics: Including applications to condensed matter 
022905 
2005 
Book 

3 
A.F.J. Levi 
Applied quantum mechanics 
018300 
2003 
Book 

4 
I.A. D'Souza 
Preons: Models of leptons, quarks and gauge bosons as composite objects 
008858 
1992 
Book 


1.


Title  Phase space methods for degenerate quantum gases 
Author(s)  Bryan J. Dalton;John Jeffers;Stephen M. Barnett 
Publication  Oxford University Press 2014. 
Abstract Note  Recent experimental progress has enabled cold atomic gases to be studied at nanokelvin temperatures, creating new states of matter where quantum degeneracy occurs—Bose–Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. As its title suggests, this book presents the phase space theory approach to treating the physics of degenerate quantum gases, an approach already widely used in quantum optics. However, degenerate quantum gases involve massive bosonic and fermionic atoms, not massless photons. The book begins with a review of Fock states for systems of identical atoms, where large numbers of atoms occupy the various singleparticle states or modes. First, separate modes are considered, and here the quantum density operator is represented by a phase space distribution function of phase space variables which replace mode annihilation and creation operators, the dynamical equation for the density operator determines a Fokker–Planck equation for the distribution function, and measurable quantities such as quantum correlation functions are given as phase space integrals. Finally, the phase space variables are replaced by timedependent stochastic variables satisfying Langevin stochastic equations obtained from the Fokker–Planck equation, with stochastic averages giving the measurable quantities. Second, a quantum field approach is then treated, the density operator being represented by a distribution functional of field functions which replace field annihilation and creation operators, the distribution functional satisfying a functional Fokker–Planck equation, etc. A novel feature of this book is that the phase space variables for fermions are Grassmann variables, not cnumbers. However, the book shows that Grassmann distribution functions and functionals still provide equations for obtaining both analytic and numerical solutions. 
ISBN,Price  Rs 0.00 
Keyword(s)  1. BOSONS
2. EBOOK
3. EBOOK  OXFORD UNIVERSITY PRESS
4. QUANTUM CORRELATION
5. QUANTUM GASES

Item Type  eBook 
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OB1495 


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