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 Galilean spacetime, that is a curved spacetime 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 the standard non-relativistic quantum mechanics. This work is a generalization of [18], where the quantum mechanics of scalar particles was formulated within a similar approach. © 1995.
Quantum mechanics of a spin particle in a curved spacetime with absolute time / D. CANARUTTO; A. JADCZYK; M. MODUGNO. - In: REPORTS ON MATHEMATICAL PHYSICS. - ISSN 0034-4877. - STAMPA. - 36:(1995), pp. 99-145. [10.1016/0034-4877(96)82487-6]
Quantum mechanics of a spin particle 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 Galilean spacetime, that is a curved spacetime 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 the standard non-relativistic quantum mechanics. This work is a generalization of [18], where the quantum mechanics of scalar particles was formulated within a similar approach. © 1995.File | Dimensione | Formato | |
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