Connection between the Schrödinger equation for dissipative systems and the master equation

✍ Scribed by P. Caldirola; L.A. Lugiato

• Book ID: 108002650
• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 811 KB
• Volume: 116
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(82)90242-4

✦ Synopsis

We study the relations between the Caldirola-Kanai (C-K) description of friction in quantum mechanics and the fundamental master equation (ME) approach. The original C-K equation is shown to be equivalent to a ME without fluctuation term, In ihe case of the damped harmonic oscillator, the C-K equation with stochastic potential turns out to be equivalent to the complete ME. The formulation in terms of Wigner function is also worked out.