Physics – Quantum Physics
Scientific paper
2000-03-18
Journal of Physics A: Mathematical and General, Vol.33, No.43, pp.7793-7820 (2000)
Physics
Quantum Physics
LaTeX with iopart.cls, iopart12.clo, iopams.sty, The previous version has some mistakes
Scientific paper
10.1088/0305-4470/33/43/309
In this paper, subnormal operators, not necessarily bounded, are discussed as generalized observables. In order to describe not only the information about the probability distribution of the output data of their measurement but also a framework of their implementations, we introduce a new concept compound-system-type normal extension, and we derive the compound-system-type normal extension of a subnormal operator, which is defined from an irreducible unitary representation of the algebra su(1,1). The squeezed states are characterized as the eigenvectors of an operator from this viewpoint, and the squeezed states in multi-particle systems are shown to be the eigenvectors of the adjoints of these subnormal operators under a representation. The affine coherent states are discussed in the same context, as well.
Hayashi Masahito
Sakaguchi Fuminori
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