Quantum mechanics from an equivalence principle
- Univ. of Florida, Gainesville, FL (United States). Inst. for Fundamental Theory
- Univ. of Padova (Italy)
The authors show that requiring diffeomorphic equivalence for one-dimensional stationary states implies that the reduced action S{sub 0} satisfies the quantum Hamilton-Jacobi equation with the Planck constant playing the role of a covariantizing parameter. The construction shows the existence of a fundamental initial condition which is strictly related to the Moebius symmetry of the Legendre transform and to its involutive character. The universal nature of the initial condition implies the Schroedinger equation in any dimension.
- Research Organization:
- Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States); Commission of the European Communities, Brussels (Belgium)
- DOE Contract Number:
- FG05-86ER40272
- OSTI ID:
- 510400
- Report Number(s):
- DOE/ER/40272-274; UFIFT-HEP-96-28; ON: DE97007994; TRN: 97:014531
- Resource Relation:
- Other Information: PBD: 15 May 1997
- Country of Publication:
- United States
- Language:
- English
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