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標題: | 非赫密PT對稱漢米爾頓及贋赫密性之探討 The formulation of non-Hermitian PT-symmetric Hamiltonians and pseudo-Hermiticity |
作者: | Gwo-Hong Suen 孫國洪 |
指導教授: | 李慶德 |
關鍵字: | 非赫密PT對稱漢米爾頓及贋,赫密性之探討, The formulation of non-Hermitian PT-symmetric, |
出版年 : | 2007 |
學位: | 博士 |
摘要: | In recent years there has been much interest in non-Hermitian Hamiltonians with real eigenvalues. In particular, PT-symmetric Hamiltonians H, i.e., , where P is the parity operator and T is the time reversal operator, have been conjectured to have a real spectrum except when the symmetry is spontaneously broken. It is also known that PT symmetry is not a necessary condition for the occurrence of real eigenvalues. Then, -pseudo-Hermiticity, i.e., , was introduced to establish the mathematical relation with PT symmetry and explored the basic structure responsible for the reality of the spectrum of non-Hermitian Hamiltonians. Because of intrinsic interest and their applications in condensed matter, quantum optics and others, we study the pseudo-Hermitian interactions in both non-relativistic and relativistic quantum mechanics by considering several examples about delocalization transition in superconductors and spin-orbit coupling in semiconductors. In addition, the pseudo-supersymmetry and boson sea are studied. Finally, the PT-symmetric quantum field theory, Klein-Gordon-type field and quantum cosmology are discussed, too.
Keywords: Pseudo unitarity; Pseudo-Hyper-virial theorem; Pseudo-probability current density; Pseudo-supersymmetry; Boson sea; Abnormal pseudo-Hermitian fermion; PT-symmetric quantum field theory; Klein-Gordon-type field. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/27828 |
全文授權: | 有償授權 |
顯示於系所單位: | 物理學系 |
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