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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 |
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| 2 |
Mehran Kardar |
Statistical physics of particles |
023571 |
2007 |
Book |
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1.
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| 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 single-particle 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 time-dependent 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 c-numbers. 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
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| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| OB1495 |
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On Shelf |
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2.
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| 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 non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group. |
| ISBN,Price | 9780521873420 : UKP 45.00(HB) |
| Classification | 539.142.2
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| Keyword(s) | 1. KINETIC THEORY OF GASES
2. PROBABILITY
3. QUANTUM GASES
4. QUANTUM STATISTICAL MECHANICS
5. STATISTICAL MECHANICS
6. STATISTICAL PHYSICS
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| Item Type | Book |
Multi-Media Links
Online resources
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 023571 |
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539.142.2/KAR/023571 |
On Shelf |
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| 026840 |
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539.142.2/KAR/026840 |
On Shelf |
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