A Bette and S Zakrzewski 1997 J. Phys. A: Math. Gen. 30 195 doi:10.1088/0305-4470/30/1/014
Extended phase spaces and twistor theory
A Bette
and S Zakrzewski
A commuting Minkowski position variable in the two-twistor phase space is found, providing a link between twistor phase spaces and the extended phase spaces for an elementary spinning particle, as defined by Zakrzewski. The two-twistor phase space is shown to be the product of three symplectic manifolds: the (forward) cotangent bundle to the Minkowski spacetime, the cotangent bundle to a circle (electric charge phase space) and the cotangent bundle to the real projective spinor space. The decomposition of the latter into Lorentz-`irreducible' parts gives exactly the one-parameter family of extended phase spaces described by Zakrzewski for b = 0 (and arbitrary a).
- PACS
- MSC
-
81R25 Spinor and twistor methods (See also 32L25)
53D05 Symplectic manifolds, general
81S10 Geometry and quantization, symplectic methods (See also 53D50)
- Subjects
- Dates
-
Issue 1 (7 January 1997)
Received 29 July 1996
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Extended phase spaces and twistor theory
A Bette and S Zakrzewski 1997 J. Phys. A: Math. Gen. 30 195
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