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Ali, S. Twareque; Prugovečki, Eduard

Extended harmonic analysis of phase space representations for the Galilei group. (English) Zbl 0603.22011

Acta Appl. Math. 6, 19-45 (1986).
A systematic method for finding all the irreducible subrepresentations of the projective phase space representations [the second author, Stochastic quantum mechanics and quantum spacetime (1984; Zbl 0536.60100)] of the Galilei group is presented. The spaces of the irreducible subrepresentations are shown to be reproducing kernel Hilbert spaces and a physical interpretation of the obtained results is then given in terms of systems of covariance [cf. the authors, Acta Appl. Math. 6, 1-18 (1986; see the preceding review)].
Reviewer: U.Cattaneo

Cited in 2 Reviews
Cited in 15 Documents

MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
81T60 Supersymmetric field theories in quantum mechanics

Keywords:

harmonic analysis; phase space representations; Galilei group; reproducing kernel Hilbert spaces; systems of covariance

Citations:

Zbl 0603.22010; Zbl 0603.22012; Zbl 0536.60100
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Full Text: DOI

References:

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