The International Conference on
Secondary Calculus and Cohomological Physics,
Moscow, August 24 - August 31, 1997

On stochastic evolution of a general relativistic quantum particle without conservation of energy

Yuri E. Gliklikh

Voronezh State University
394693, Voronezh, Russia E-mail:

Abstract: We prove existence of solutions for Newton-Nelson equation on manifolds with connections for systems with non-conservative force fields and as a corollary validate a certain extension of the procedure of quantization for particles motion in General Relativity

Keywords: Lorentz manifolds, Newton-Nelson equation, quantum particle

Classification (MSC91): 58G32, 58Z05, 60H30, 81P20

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