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The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

✍ Scribed by Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 73 KB
Volume: 203
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(90)90035-m

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✦ Synopsis

A scalar Higgs field theory in de Sitter space-time has been investigated using the real time formulation of Semenoff and Weiss. We calculate the two-point function at late times and use it to obtain a general expression for the amplitude of fluctuation in energy density on scales which come out of the de Sitter horizon.

The Exact Solution for the Generalized Time-Dependent Harmonic Oscillator and Its Adiabatic Limit.

📜 SIMILAR VOLUMES

The exact solution for the generalized t

The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit

✍ Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 343 KB

In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then. the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact soluti