Quantum Equivalence Principle for Path Integrals in Spaces with Curvature and Torsion
| dc.creator | Kleinert, H. | |
| dc.date | 1995-11-18 | |
| dc.date.accessioned | 2026-07-07T06:13:40Z | |
| dc.date.available | 2026-07-07T06:13:40Z | |
| dc.description | We formulate a new quantum equivalence principle by which a path integral for a particle in a general metric-affine space is obtained from that in a flat space by a non-holonomic coordinate transformation. The new path integral is free of the ambiguities of earlier proposals and the ensuing Schrödinger equation does not contain the often-found but physically false terms proportional to the scalar curvature. There is no more quantum ordering problem. For a particle on the surface of a sphere in $D$ dimensions, the new path integral gives the correct energy $\propto \hat L^2$ where $\hat L$ are the generators of the rotation group in ${\bf x}$-space. For the transformation of the Coulomb path integral to a harmonic oscillator, which passes at an intermediate stage a space with torsion, the new path integral renders the correct energy spectrum with no unwanted time-slicing corrections. | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9511020 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9511020 | |
| dc.identifier | in Proceedings of the XXV International Symposium Ahrenshoop on Theory of Elementary Particles in Gosen/Germany 1991, ed. by H. J. Kaiser | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93187 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Equivalence Principle for Path Integrals in Spaces with Curvature and Torsion | |
| dc.type | text |