Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/14960
ชื่อเรื่อง: The derivation of time-dependent Schrödinger equations
ผู้แต่ง: Briggs J.S.
Boonchui S.
Khemmani S.
วันที่เผยแพร่: 2007
บทคัดย่อ: Beginning with an entangled state of a time-independent (TI) quantum system coupled to its TI quantum environment, we show that a time-dependent Schrödinger equation (TDSE) for the quantum system alone can be derived in the limit that one of the environment variables becomes a classical variable. In the same limit the TI amplitude of the environment wavefunction becomes the TD amplitude of an eigenfunction expansion of the system TD wavefunction. Similarly, the phase of the TI environment wavefunction goes over into the TD phase of the system amplitude. By considering that more and more environment variables become successively classical, each provides a classical clock to give a multiple-time TDSE for the quantum system. Two examples of two-time TDSE given in the literature are derived. When all clocks are synchronized the multiple-time TDSE reduces to the usual one-time TDSE. © 2007 IOP Publishing Ltd.
URI: https://ir.swu.ac.th/jspui/handle/123456789/14960
https://www.scopus.com/inward/record.uri?eid=2-s2.0-41149143210&doi=10.1088%2f1751-8113%2f40%2f6%2f007&partnerID=40&md5=c3981f2ddfc1f74c14bb80f5bfcb6d9e
ISSN: 17518113
Appears in Collections:Scopus 1983-2021

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