# Phase Space Methods for Degenerate Quantum Gases

English | 2015 | ISBN-10: 0199562741 | 432 Pages | PDF | 3 MB

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for 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, 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 treated, the density operator being represented by a distribution functional of field functions which replace field annihilation, creation operators, the distribution functional satisfying a functional FPE, etc. A novel feature of this book is that the phase space variables for fermions are Grassmann variables, not c-numbers. However, we show that Grassmann distribution functions and functionals still provide equations for obtaining both analytic and numerical solutions. The book includes the necessary mathematics for Grassmann calculus and functional calculus, and detailed derivations of key results are provided.**Download:**

http://longfiles.com/nvk7rrgu0xfg/Phase_Space_Methods_for_Degenerate_Quantum_Gases.pdf.html

**[Fast Download] Phase Space Methods for Degenerate Quantum Gases**

**Ebooks related to "Phase Space Methods for Degenerate Quantum Gases" :**

Electromagnetic Interactions

Lev D. Landau, Evgenij M. Lifsits, Fisica teorica VI. Meccanica dei fluidi

Advanced Methods of Continuum Mechanics for Materials and Structures

The Finite Element Analysis Program MSC Marc/Mentat: A First Introduction

Exploring Greenland: Cold War Science and Technology on Ice

An Introduction to X-ray Crystallography, Second Edition

An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions

Advances in Imaging and Electron Physics, Volume 142 By Peter W. Hawkes

Magnetic Cloud Boundary Layers and Magnetic Reconnection

Physics, 9th Edition

**Copyright Disclaimer:**

This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.

**Categories**

Astronomy and Cosmology |
Physics |

Philosophy | Medicine |

Mathematics | DSP |

Cryptography | Chemistry |

Biology and Genetics | Psychology and Behavior |

**Popular ebooks**

Elements of Mechanics(3240)

Understanding Relativity: A Simplified App(2524)

Introducing Time: A Graphic Guide(2261)

Idiot's Guides: Physics(2044)

Introducing Relativity: A Graphic Guide(2004)

In Praise of Simple Physics: The Science a(1962)

Introducing Chaos: A Graphic Guide(1894)

Cambridge International AS and A Level Phy(1894)

How to Teach Quantum Physics to Your Dog(1817)

Particles and the Universe: From the Ionia(1707)

Physics of the Earth(1642)

Easy Physics Step-By-Step(1599)

Holt McDougal Physics: Teacher's Edition 2(1576)

The Physics of Life: The Evolution of Ever(1539)

Commonly Asked Questions in Physics(1539)