107 citations · 279 across the 51 of their papers we have counts for
51 papers
On deformed quantum potentials
Robert Carroll
We describe some analogues of quantum potentials arising in fractional or deformed Schroedinger equations.
Some topics in thermodynamics and quantum mechanics
Robert Carroll
We sketch some connecting relations involving fractional and quantum calculi, fractal structure, thermodynamics, and quantum mechanics.
On a fractional quantum potential
Robert Carroll
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
Thermodynamics and scale relativity
Robert Carroll
It is shown how the fractal paths of scale relativity (following Nottale) can be introduced into a thermodynamical context (following Asadov-Kechkin).
Remarks on osmosis, quantum mechanics, and gravity
Robert Carroll
Some relations of the quantum potential to Weyl geometry are indicated with applications to the Friedmann equations for a toy quantum cosmology. Osmotic velocity and pressure are b…
On some toy quantum cosmology
Robert Carroll
Some connections of the quantum potential to gravitation are discussed.