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Quantum Dynamics of Damped Harmonic Oscillator in Terms of Representations of the Group SU(1,1) and in Relation to Models of Continuous Measurement

✍ Scribed by V. Peřinová; A. Lukš

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 80 KB
Volume: 49
Category: Article
ISSN: 0015-8208
DOI: 10.1002/1521-3978(200110)49:10/11<1077::aid-prop1077>3.0.co;2-z

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✦ Synopsis

Solution of the master equation for the damped harmonic oscillator is expressed in terms of the matrix elements of the representations of the group SU(1,1). We investigate the role of the group SU(1,1) in the optical attenuation and amplification processes. The connection to the ideal photon and quantum counters is established.