The equivalence principle of quantum mechanics: Uniqueness theorem
- Univ. of Florida, Gainesville, FL (United States). Inst. for Fundamental Theory
- Univ. of Padova (Italy)
Recently the authors showed that the postulated diffeomorphic equivalence of states implies quantum mechanics. This approach takes the canonical variables to be dependent by the relation p = {partial_derivative}{sub q}S{sub 0} and exploits a basic GL(2,C)-symmetry which underlies the canonical formalism. In particular, they looked for the special transformations leading to the free system with vanishing energy. Furthermore, they saw that while on the one hand the equivalence principle cannot be consistently implemented in classical mechanics, on the other it naturally led to the quantum analogue of the Hamilton-Jacobi equation, thus implying the Schroedinger equation. In this letter they show that actually the principle uniquely leads to this solution. The authors also express the canonical and Schroedinger equations by means of the brackets recently introduced in the framework of N = 2 SYM. These brackets are the analogue of the Poisson brackets with the canonical variables taken as dependent.
- Research Organization:
- Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States)
- DOE Contract Number:
- FG05-86ER40272
- OSTI ID:
- 564304
- Report Number(s):
- DOE/ER/40272-290; UFIFT-HEP-97-33; DFPD-97/TH/33; HEP-TH-9711028; ON: DE98001992; TRN: 98:003248
- Resource Relation:
- Other Information: PBD: 28 Oct 1997
- Country of Publication:
- United States
- Language:
- English
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