Theory of thin shells in general relativity: Direct versus Dirac quantization

Abstract

In this report we discuss the merits and demerits of the formal Hamiltonian approach for spherically symmetric thin shells and methods of quantization connected with it. The merits are: (1) we are using the approved way of quantization, which algorithm was filed earlier; (2) we do not know other ways. The demerits are: (1) we attempt to introduce a time into the of essence stationary theory, that leads to the “many times” and “many spectra” problems, and also to the “where is observer” question; (2) obtained wave functions are not globally defined, that leads to the “what about boundary conditions” question. So, we propose a way of the direct quantization, which consists not in the quantization by means of artificial Hamiltonians constructing but in the immediate quantization of a conservation law. Herewith we will have: (1) all values are observable and have an obvious physical meaning; (2) wave function is globally defined and often can be exactly obtained; (3) mathematically we expedite the problem and, therefore, more complex tasks can be considered exactly. 04.20.-q, 04.60.+n, 11.17.+y Typeset using REVTEX Present electronic address: theorph@ff.dsu.dp.ua (Sub: for Zlo), all others are temporary.

Cite this paper

@inproceedings{Zloshchastiev1997TheoryOT, title={Theory of thin shells in general relativity: Direct versus Dirac quantization}, author={Konstantin G. Zloshchastiev}, year={1997} }