We present a new covariant approach to the quantum mechanics of a charged 1/2-spin particle in given electromagnetic and gravitational fields. The background space is assumed to be a curved Galileian spacetime, that is a curved space-time with absolute time. This setting is intended both as a suitable approximation for the case of low speeds and feeble gravitational fields, and as a guide for eventual extension to fully Einsteinian spacetime. Moreover, in the flat spacetime case one completely recovers standard non-relativistic quantum mechanics.
On Quantum Mechanics in a Curved Spacetime with Absolute Time / D. CANARUTTO; A. JADCZYK; M. MODUGNO. - STAMPA. - (1995), pp. 3-19. (Intervento presentato al convegno XIII WORKSHOP ON GEOM. METH. IN PHYS. tenutosi a BIALOWIEZA) [10.1007/978-1-4899-1060-8_1].
On Quantum Mechanics in a Curved Spacetime with Absolute Time
CANARUTTO, DANIEL;MODUGNO, MARCO
1995
Abstract
We present a new covariant approach to the quantum mechanics of a charged 1/2-spin particle in given electromagnetic and gravitational fields. The background space is assumed to be a curved Galileian spacetime, that is a curved space-time with absolute time. This setting is intended both as a suitable approximation for the case of low speeds and feeble gravitational fields, and as a guide for eventual extension to fully Einsteinian spacetime. Moreover, in the flat spacetime case one completely recovers standard non-relativistic quantum mechanics.
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