Wiener and Poisson process regularization for coherent‐state path integrals

1993 ◽  
Vol 34 (9) ◽  
pp. 3867-3877 ◽  
Author(s):  
Robert Alicki ◽  
John R. Klauder
Keyword(s):  
Coherent State ◽  
Poisson Process ◽  
Path Integrals ◽  
State Path

COHERENT STATES WITHOUT GROUPS: QUANTIZATION ON NONHOMOGENEOUS MANIFOLDS

1993 ◽  
Vol 08 (18) ◽  
pp. 1735-1738 ◽  
Author(s):  
JOHN R. KLAUDER
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
Wide Class ◽  
Coherent States ◽  
Path Integrals ◽  
Killing Vector ◽  
Single Variable ◽  
Holomorphic Representation ◽  
Representation Spaces ◽  
State Path

A wide class of single-variable holomorphic representation spaces are constructed that are associated with very general sets of coherent states defined without the use of transitively acting groups. These representations and states are used to define coherent-state path integrals involving phase-space manifolds having one Killing vector but a quite general curvature otherwise.

BOSONIC PATH INTEGRALS FOR FOUR-DIMENSIONAL DIRAC PARTICLES

1989 ◽  
Vol 04 (14) ◽  
pp. 3615-3628 ◽  
Author(s):  
PETER ORLAND
Keyword(s):  
Coherent State ◽  
Path Integrals ◽  
Functional Integral ◽  
Three Dimensions ◽  
Four Dimensions ◽  
Dirac Particles ◽  
Relativistic Spin ◽  
State Path

After reviewing coherent state path integrals for nonrelativistic spin in four dimensions (or equivalently, relativistic spin in three dimensions), the Dirac propagator in four dimensions is recast as a functional integral of an (S3×S3)/S1 field. Chiral transformations correspond to a global rotation of this field.

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