Geometric description of the Schrödinger equation in 3n+1 dimensional configuration space

Abstract

We show that for non-relativistic free particles, the (bosonic) many particle equations can be rewritten in geometric fashion in terms of a classical theory of conformally stretched spacetime. We further generalize the results for the particles subject to a potential.

6 pages

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Cited by in corpus (4)

• Recovering a MOND-like acceleration law in mimetic gravity
• Two particle entanglement and its geometric duals
• Geometric Description of Schrödinger Equation in Finsler and Funk Geometry
• Constrained dynamics of maximally entangled bipartite system