On quantum mechanics as constrained N=2 supersymmetric classical dynamics [rapid communication]
Abstract
The Schrödinger equation is shown to be equivalent to a constrained Liouville equation under the assumption that phase space is extended to Grassmann algebra valued variables. For one-dimensional systems, the underlying Hamiltonian dynamics has a N=2 supersymmetry. Potential applications to more realistic theories are briefly discussed.
- Publication:
-
Physics Letters A
- Pub Date:
- February 2005
- DOI:
- 10.1016/j.physleta.2004.12.045
- arXiv:
- arXiv:hep-th/0411176
- Bibcode:
- 2005PhLA..335..258E
- Keywords:
-
- Schrödinger equation;
- Liouville equation;
- SUSY;
- Pseudoclassical mechanics;
- High Energy Physics - Theory;
- Physics - Classical Physics;
- Quantum Physics
- E-Print:
- 11 pages