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

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

Full text of the article:

• Compressed DVI file (22668 Bytes)
• Compressed Postscript file (57115 Bytes)