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Mori′s Memory Kernel Equation for a Quantum Harmonic Oscillator Coupled to RWA-Oscillator

✍ Scribed by M. Hirokawa

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 908 KB
Volume: 224
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1993.1048

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✦ Synopsis

For a quantum harmonic oscillator coupled to the RWA-oscillator, we actually derive Mori's memory kernel equation, which consists of three components, Mori's frequency, Mori's memory function, and Mori's fluctuation. Then we find the method of expressing the three components in terms of an autocorrelation function of an observable. 1993 Academic Press. Inc.

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✍ G.W. Ford; R.F. O'Connell 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 128 KB

For a quantum oscillator coupled to a reservoir, master equations obtained under the assumptions of weak coupling and use of a rotating-wave Hamiltonian (RWA) are known to give incorrect frequency shifts. Here, we show that a calculation which does not invoke the RWA gives results for the frequency