杜诗谐趣拾遗——兼论杜甫之谐易人格

布封所说的风格即人格,迄今仍有普遍意义。杜诗风格,或曰沉郁雄深,或曰清逸曲峭,或曰悲婉怆凉。于其人格,则多曰狂诞浪漫,忧世伤生,悲己悯人。而杜诗研究千年,却鲜有论及其谐趣风格者。杜甫谐趣诗主要以对困窘生活的自嘲消遣和对老妻幼子的戏谑为主题,其创作动因来源于其谐易达观的人生态度,是对忧患人生的强劲反弹。

Forced Time-Dependent Harmonic Oscillators in Non-Commutative Space

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.