Quantum mechanics from an equivalence principle

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Description

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.

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10 p.

Creation Information

Faraggi, A. E. & Matone, M. May 15, 1997.

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Authors

  • Faraggi, A. E. Univ. of Florida, Gainesville, FL (United States). Inst. for Fundamental Theory
  • Matone, M. Univ. of Padova (Italy)

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Description

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.

Physical Description

10 p.

Notes

INIS; OSTI as DE97007994

Source

  • Other Information: PBD: 15 May 1997

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  • Other: DE97007994
  • Report No.: DOE/ER/40272--274
  • Report No.: UFIFT-HEP--96-28
  • Grant Number: FG05-86ER40272
  • DOI: 10.2172/510400 | External Link
  • Office of Scientific & Technical Information Report Number: 510400
  • Archival Resource Key: ark:/67531/metadc691232

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • May 15, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

Description Last Updated

  • Oct. 3, 2017, 6:01 p.m.

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Faraggi, A. E. & Matone, M. Quantum mechanics from an equivalence principle, report, May 15, 1997; United States. (digital.library.unt.edu/ark:/67531/metadc691232/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.