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Lisiecki, W.; Odzijewicz, A.

Twistor flag spaces as phase spaces of conformal particles. (English) Zbl 0438.58017

Lett. Math. Phys. 3, 325-334 (1979).
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Cited in 3 Documents

MSC:

53D50 Geometric quantization
81T60 Supersymmetric field theories in quantum mechanics
81V25 Other elementary particle theory in quantum theory
53C27 Spin and Spin\({}^c\) geometry

Keywords:

geometric quantization; mechanical system with given symmetry; conformally invariant Hamiltonian structures; twistor flag space; momentum; angular momentum; acceleration; dilation; complexified Minkowski space; phase space of massive scalar conformal particles

Citations:

Zbl 0183.509
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Full Text: DOI

References:

[1] BourbakiN., ’Variétés différentielles et analytiques’, Fascicule de résults, Hermann, Paris, 1967.
[2] CareyA.L., and HannabussK.C.,Rep. Math. Phys. 13, 199 (1978). · Zbl 0406.58018 · doi:10.1016/0034-4877(78)90053-8
[3] KirillovA.A.,Elements of the Theory of Representations, Springer Verlag, Berlin, 1976. · Zbl 0339.49002
[4] Kostant B., ’Quantization and unitary representations’, inLecture Notes in Mathematics, Vol. 170, Springer Verlag, 1970. · Zbl 0223.53028
[5] Lang, S.,Algebra, Addison – Wesley, 1965, p. 360.
[6] NewmanE.T., and WinicourJ.,J. Math. Phys. 15, 1113 (1974). · doi:10.1063/1.1666761
[7] PenroseR., and MacCallumM.,Phys. Rep. 6, 241 (1972). · doi:10.1016/0370-1573(73)90008-2
[8] SouriauJ.M.,Structure des systèmes dynamiques, Dunod, Paris, 1970, pp. 180–189.
[9] WolfJ.A.,Bull. of AMS 75, 1121 (1969). · Zbl 0183.50901 · doi:10.1090/S0002-9904-1969-12359-1
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