Local Differential Geometry as a Representation of the SUSY Oscillator

Details Local Differential Geometry as a Representation of the SUSY Oscillator Local Differential Geometry as a Representation of the SUSY Oscillator

1994-11-25

arxiv.org/abs/hep-th/9411189v1

J.Math.Phys.36:1192-1197,1995

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex

Scientific paper

10.1063/1.531113

This work proposes a natural extension of the Bargmann-Fock representation to a SUSY system. The main objective is to show that all essential structures of the n-dimensional SUSY oscillator are supplied by basic differential geometrical notions on an analytical R^n, except for the scalar product which is the only additional ingredient. The restriction to real numbers implies only a minor loss of structure but makes the essential features clearer. In particular, euclidean evolution is enforced naturally by identification with the 1-parametric group of dilations.

Affiliated with

Also associated with

No associations

Rating

Local Differential Geometry as a Representation of the SUSY Oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local Differential Geometry as a Representation of the SUSY Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Differential Geometry as a Representation of the SUSY Oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177498