玻色-爱因斯坦凝聚的基础与前沿-(影印版)
玻色-爱因斯坦凝聚的基础与前沿-(影印版)作者:上田正仁 开 本:16开 书号ISBN:9787301251737 定价:63.0 出版时间:2014-12-01 出版社:北京大学出版社 |
玻色-爱因斯坦凝聚的基础与前沿-(影印版) 本书特色
《玻色-爱因斯坦凝聚的基础与前沿》首先介绍了玻色-爱因斯坦凝聚(bec)的基本理论。之后,本书讨论了快速旋转bec,旋量和偶极bec,低维bec等近来发展迅速的方向。本书还介绍了平衡或非平衡费米液体超流,包括bcs-bec交叉、幺正气体、p波超流等。本书适合本领域的研究者和研究生阅读。
玻色-爱因斯坦凝聚的基础与前沿-(影印版) 内容简介
玻色爱因斯坦凝聚是神奇而富有魅力的物理现象。相关研究已经使多位科学家获得了诺贝尔奖。目前。关于冷原子的研究正蓬勃展开,玻色爱因斯坦凝聚正是其理论基础。本书对于相关领域的研究人员来说是不可错过的佳作。
玻色-爱因斯坦凝聚的基础与前沿-(影印版) 目录
preface v1. fundamentals of bose-einstein condensation
1.1 indistinguishability of identical particles
1.2 ideal bose gas in a uniform system
1.3 off-diagonal long-range order: bose system
1.4 off-diagonal long-range order: fermi system
1.5 u(1)gauge symmetry
1.6 ground-state wave function of a bose system
1.7 bec and superfluidity
1.8 two-fluidmodel.
1.9 fragmented condensate.
1.9.1 two-statemodel.
1.9.2 degenerate double-well model.
1.9.3 spin-1 antiferromagnetic bec.
1.10 interference between independent condensates
1.11 feshbach resonance
2. weakly interacting bose gas
2.1 interactions between neutral atoms
2.2 pseudo-potentialmethod
2.3 bogoliubov theory
2.3.1 bogoliubov transformations
2.3.2 bogoliubov ground state
2.3.3 low-lying excitations and condensate fraction
2.3.4 properties of bogoliubov ground state.
2.4 bogoliubov theory of quasi-one-dimensional torus.
2.4.1 case of bec at rest: stability of bec.
2.4.2 case of rotating bec: landau criterion
2.4.3 ground state of bec in rotating torus
2.5 bogoliubov-degennes (bdg) theory.
2.6 method of binary collision expansion.
2.6.1 equation of state
2.6.2 cluster expansion of partition function
2.6.3 ideal bose and fermi gases
2.6.4 matsubara formula
3. trapped systems
3.1 ideal bose gas in a harmonic potential
3.1.1 transition temperature.
3.1.2 condensate fraction
3.1.3 chemical potential
3.1.4 specific heat
3.2 bec in one- and two-dimensional parabolic potentials
3.2.1 density of states.
3.2.2 transition temperature.
3.2.3 condensate fraction
3.3 semiclassical distribution function
3.4 gross-pitaevskii equation
3.5 thomas-fermi approximation.
3.6 collective modes in the thomas-fermi regime
3.6.1 isotropic harmonic potential
3.6.2 axisymmetric trap
3.6.3 scissorsmode
3.7 variationalmethod
3.7.1 gaussian variational wave function
3.7.2 collectivemodes.
3.8 attractive bose-einstein condensate
3.8.1 collectivemodes.
3.8.2 collapsing dynamics of an attractive condensate
4. linear response and sum rules
4.1 linear response theory.
4.1.1 linear response of density fluctuations
4.1.2 retarded response function
4.2 sum rules.
4.2.1 longitudinal f-sumrule
4.2.2 compressibility sum rule
4.2.3 zero energy gap theorem
4.2.4 josephson sum rule
4.3 sum-rule approach to collectivemodes
4.3.1 excitation operators
4.3.2 virial theorem
4.3.3 kohn theorem
4.3.4 isotropic trap
4.3.5 axisymmetric trap
5. statistical mechanics of superfluid systems in a moving frame
5.1 transformation tomoving frames
5.2 elementary excitations of a superfluid.
5.3 landau criterion.
5.4 correlation functions at thermal equilibrium
5.5 normal fluid density
5.6 low-lying excitations of a superfluid.
5.7 examples.
5.7.1 ideal bose gas
5.7.2 weakly interacting bose gas
6. spinor bose-einstein condensate
6.1 internal degrees of freedom
6.2 general hamiltonian of spinor condensates
6.3 spin-1 bec
6.3.1 mean-field theory of a spin-1 bec
自然科学 物理学 理论物理学
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