Equality of Inertial and Gravitational Masses for Quantum Particle
Abstract
Description
We investigate the interaction of the gravitational field with a quantum particle. First, we give the proof of the equality of the inertial and the gravitational mass for the nonrelativistic quantum particle, independently of the equivalence principle. Second, we show that the macroscopic body cannot be described by the many-particle Quantum Mechanics. As an important tool we generalize the Bargmann's theory of ray representations and explain the connection with the state vector reduction problem. The Penrose's hypothesis is discussed, i.e. the hypothesis that the gravitational field may influence the state vector reduction.
41 pages = 22 pages of main text + 17 pages of Appendix + two pages of References, supported by KBN Grant no. 5 P03B 093 20
41 pages = 22 pages of main text + 17 pages of Appendix + two pages of References, supported by KBN Grant no. 5 P03B 093 20