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A Locally Compact Quantum Group Analogue of the Normalizer of SU(1,1) in SL(2, ℂ)

✍ Scribed by Erik Koelink; Johan Kustermans


Publisher
Springer
Year
2003
Tongue
English
Weight
649 KB
Volume
233
Category
Article
ISSN
0010-3616

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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 qua