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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 
Mehran Kardar 
Statistical physics of particles 
023571 
2007 
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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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
OB1495 


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2.
 
Title  Statistical physics of particles 
Author(s)  Mehran Kardar 
Publication  Cambridge, Cambridge University Press, 2007. 
Description  x, 320p. 
Abstract Note  Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses nonmean field aspects of scaling and critical phenomena, through the perspective of renormalization group. 
ISBN,Price  9780521873420 : UKP 45.00(HB) 
Classification  539.142.2

Keyword(s)  1. KINETIC THEORY OF GASES
2. PROBABILITY
3. QUANTUM GASES
4. QUANTUM STATISTICAL MECHANICS
5. STATISTICAL MECHANICS
6. STATISTICAL PHYSICS

Item Type  Book 
MultiMedia Links
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Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023571 

539.142.2/KAR/023571 
On Shelf 



026840 

539.142.2/KAR/026840 
On Shelf 



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