ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The inclusion of self-interaction, in particular, gravitational into the quantum mechanics of a particle (first quantization) implies two necessary features: dealing with quantum mechanics involving the second time derivative and the construction of a variational principle maintaining the rescaling invariance of the wave function. The relevant variational principle is constructed which is not the principle of extremality of any action. Some general mathematical facts lain in the basis of this construction are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528965