A Gauge theory of quantum mechanics

Isidro, Jose M.; de Gosson, Maurice A.

doi:10.1142/S0217732307022578

A Gauge theory of quantum mechanics

Aug, 2006

9 pages

Published in:

Mod.Phys.Lett.A 22 (2007) 191-200

e-Print:

quant-ph/0608093 [quant-ph]

DOI:

10.1142/S0217732307022578

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Abstract: (arXiv)

An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schroedinger equation on phase space.

Note:

9

Gerbes
phase space
quantum mechanics

References(6)

Figures(0)

On the quantum correction for thermodynamic equilibrium

Eugene P. Wigner
(
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)

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•
DOI:
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Gerbes, quantum mechanics and gravity

J.M. Isidro
(
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)

e-Print:
- hep-th/0510075

Gerbes and Heisenberg's uncertainty principle

J.M. Isidro
(
- Valencia U., IFIC
)

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•
e-Print:
- hep-th/0512241
•
DOI:
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Equivalence principle, higher dimensional Mobius group and the hidden antisymmetric tensor of quantum mechanics

Gaetano Bertoldi
(
- MIT, LNS and
- MIT
)
,
Alon E. Faraggi
(
- Minnesota U.
)
,
Marco Matone
(
- Padua U. and
- INFN, Padua
)

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•
e-Print:
- hep-th/9909201
•
DOI:
- 10.1088/0264-9381/17/19/302