Higher-dimensional geometric description of the quantum Klein-Gordon equation - INSPIRE

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Higher-dimensional geometric description of the quantum Klein-Gordon equation

Benjamin Koch
(
- Chile U., Catolica
)

2013

10 pages

Published in:

Int.J.Geom.Meth.Mod.Phys. 10 (2013) 9, 1320014

Published: 2013

DOI:

10.1142/S0219887813200144

View in:

AMS MathSciNet

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Abstract: (WSP)

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.

04.62.+v
03.65.Ta
Quantum mechanics
curved space-time
quantum mechanics: Bohmian
electromagnetic field
duality
Klein-Gordon equation
wave function
Hamilton-Jacobi equation

References(46)

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