Journal ArticleDOI
Quantum Mechanics and Path Integrals in Spaces with Curvature and Torsion
TLDR
In this paper, it was shown that there is a natural geometric procedure for constructing the quantum theory of a particle in a general metric-affine space with curvature and torsion.Abstract:
We point out that there is a natural geometric procedure for constructing the quantum theory of a particle in a general metric-affine space with curvature and torsion. Quantization rules are presented and expressed in the form of a simple path integral formula which specifies compactly a new combined equivalence and correspondence principle. The associated Schrodinger equation has no extra curvature nor torsion terms that have plagued earlier attempts. Several well-known physical systems are invoked to suggest the correctness of the proposed theory.read more
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Journal ArticleDOI
The arguments against ``antigravity'' and the gravitational acceleration of antimatter
Michael Martin Nieto,T. Goldman +1 more
TL;DR: In this article, it was shown that if these arguments are applied to the ongoing experiment to measure the gravitational acceleration of the antiproton, they do not rule out a large anomalous gravitational response for the antroton.
Proceedings ArticleDOI
Practical rendering of multiple scattering effects in participating media
TL;DR: A general framework for incorporating the point spread function that captures blurring of radiance due to multiple scattering is developed, while considering inhomogeneous media - this framework could also be used with other analytic multiple scattering models.
Journal ArticleDOI
Green's functions via path integrals for systems with position-dependent masses.
Journal ArticleDOI
The T(3)-Gauge Model, the Einstein-Like Gauge Equation, and Volterra Dislocations with Modified Asymptotics
TL;DR: In this article, a three-dimensional Lagrangian field theory is investigated as the T (3)-gauge model of static defects in continuous solids, and the nonconventional incompatibility law is given by an Einstein-like gauge equation with the elastic stress tensor as a matter source.
Journal ArticleDOI
Nonholonomic Mapping Principle for Classical and Quantum Mechanics in Spaces with Curvature and Torsion
TL;DR: In this article, the nonholonomic mapping principle is used to derive laws of nature in spacetimes with curvature and torsion from those in flat spacetime, thus replacing and extending Einstein's equivalence principle.