For the time-dependent harmonic oscillator and generalized harmonic oscillator with or without external forces in non-commutative space, wave functions, and geometric phases are derived using the Lewis-Riesenfeld inva...For the time-dependent harmonic oscillator and generalized harmonic oscillator with or without external forces in non-commutative space, wave functions, and geometric phases are derived using the Lewis-Riesenfeld invariant. Coherent states are obtedned as the ground state of the forced system. Quantum fluctuations are calculated too. It is seen that geometric phases and quantum fluctuations are greatly affected by the non-commutativity of the space.展开更多
文摘讨论关于在ILC用gamma gamma到Z过程检验非对易时空能标(原文发在hep-ph/0604115).在通常时空量子场论中,由杨氏定理可知一个自旋为1的粒子不可能衰变为两个光子.但在非对易时空中此过程是允许的.因此这个过程能作为检验非对易时空的工具.ILC的光子对撞模式能实现这个过程.如果总亮度能达到500fb^(-1),我们证明对Gamma(z to gamma gamma)宽度的测量精度将比现有限制(<5.2×10^(-5)GeV)好3—4个数量级.对非对易时空能标的检测可高达几个TeV.
文摘For the time-dependent harmonic oscillator and generalized harmonic oscillator with or without external forces in non-commutative space, wave functions, and geometric phases are derived using the Lewis-Riesenfeld invariant. Coherent states are obtedned as the ground state of the forced system. Quantum fluctuations are calculated too. It is seen that geometric phases and quantum fluctuations are greatly affected by the non-commutativity of the space.