On Quantum Mechanics in a Curved Spacetime with Absolute Time

Daniel Canarutto, Arkadiusz Jadczyk and Marco Modugno
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Daniel Canarutto: Dipartimento di Matematica Applicata ‘G. Sansone’
Arkadiusz Jadczyk: Institute of Theoretical Physics
Marco Modugno: Dipartimento di Matematica Applicata ‘G. Sansone’

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 3-19 from Springer

Abstract: 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.

Keywords: Vector Bundle; Orthonormal Frame; Linear Connection; Pauli Operator; Coordinate Expression (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_1

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DOI: 10.1007/978-1-4899-1060-8_1

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