| 姓名：(美)博赫姆著 作者简介： 作品：《量子系统中的几何相位:基本原理、数学概念及其在分子物理和凝聚态物理中的应用》 姓名：(美)博赫姆(Bohm.A.)著 作者简介： 作品：《量子系统中的几何相位:基本原理、数学概念及其在分子物理和凝聚态物理中的应用》 姓名：(美国)(Bohm.A.)博赫姆著 作者简介： 作品：《量子系统中的几何相位:基本原理、数学概念及其在分子物理和凝聚态物理中的应用》 |
| 插图： 6.1 introduction in the preceding chapter, we have developed the parts of the theory of fiber bundles which are relevant to our study of geometric phases and briefly described gauge theories. we introduced abstract gauge theories as generalizations of the abelian gauge theory of electromagnetism. there is also another abelian gauge theory which we encountered in chap. 4. we call the latter the abelian gauge theory of quantum mechanics. the parameter space of this gauge theory is the projective hilbert space p（h） associated with a hilbert space h, the matter fields are the pure state vectors which belong to h, the gauge or symmetry group is the group u（1） of the phases of the state vectors,and the gauge potential is the aharonov-anandan （a-a） connection. the defining pfb associated with this gauge theory is the a-a bundle n whose structure is determined by the hilbert space h. the a-a connection defines a natural geometric structure on n. the associated vector bundl 更多 |
| 1 introduction 2 quantal phase factors for adiabatic changes 2.1 introduction 2.2 adiabatic approximation 2.3 berry's adiabatic phase 2.4 topological phases and the aharonov-bohm effect problems 3 spinning quantum system in an external magnetic field 3.1 introduction 3.2 the parameterization of the basis vectors 3.3 mead-berry connection and berry phase for adiabatic evolutions - magnetic monopole potentials 3.4 the exact solution of the schrsdinger equation 3.5 dynamical and geometrical phase factors for non-adiabatic evolution problems 4 quantal phases for general cyclic evolution 4.1 introduction 4.2 aharonov-ananda 更多 |
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