Quantum Mechanics and Relativity --- Their Unification by Local Time ---

Details Quantum Mechanics and Relativity --- Their Unification by Local Time --- Quantum Mechanics and Relativity --- Their Unification by Local Time ---

1996-12-17

arxiv.org/abs/gr-qc/9612043v5

Spectral and Scattering Theory, ed. by A. G. Ramm, Plenum Press, New York, 39-66 (1998)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, AmSTeX

Scientific paper

A quantum-mechanical Hamiltonian with a gravitational potential is derived in the framework of local times. This Hamiltonian is the one used by E. H. Lieb (Bull. Amer. Math. Soc. 22(1990), 1-49) in his explanation of stability and instability of cold stars. Our procedure deriving the Hamiltonian is based on an analysis of the process of the observation with the background of the notion of quantum-mechanical local times compatible with general theory of relativity.

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