107 citations · 279 across the 51 of their papers we have counts for
8 papers · 1 filter
On deformed quantum potentials
Robert Carroll
We describe some analogues of quantum potentials arising in fractional or deformed Schroedinger equations.
Some fundamental aspects of a quantum potential
Robert Carroll
We show that given a suitable but essentially arbitrary function Q(x,t,h) there are "generalized" quantum theories having Q as a quantum potential.
Fisher, Kaehler, Weyl and the quantum potential
Robert Carroll
Connections between Fisher information, Kaehler geometry of a quantum projective Hilbert space, and the Weyl-Ricci scalar curvature of a Riemannian flat spacetime with quantum matt…
On the quantum potential
Robert Carroll
We survey various origins and expressions for the quantum potential with some new observations.
Remarks on the Schrodinger equation
Robert Carroll
Various origins of linear and nonlinear Schrodinger equations are discussed in connection with diffusion, hydrodynamics, and fractal structure. The treatment is mainly expository,…
Integrable systems as quantum mechanics
Robert Carroll
This is a mainly expository sketch showing how some integrable systems (e.g. KP or KdV) can be viewed as quantum mechanical in nature.