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For questions about mathematical problems arising from quantum mechanics, a branch of physics describing the behaviour of nature at very small scales, at the level of atoms and subatomic particles.

2 votes

q-difference equations and quantum mechanics

Regarding the first part of the question: Have there ever been actual uses of q-calculus and quantum groups to computing or understanding solutions of Schrodinger equations, or functions actually …
Konstantinos Kanakoglou's user avatar
23 votes
Accepted

Is there any published physics article where $q$-mathematics is applied?

There has been quite a lot of literature on the applications of $q$-numbers, $q$-derivatives, $q$-deformations, etc, of various algebraic models of physics. Such applications range from $q$-deformatio …
Konstantinos Kanakoglou's user avatar
13 votes

The Planck constant for mathematicians

About your Q1: I think that the simplest—and most obvious—way to think mathematically about the physical meaning of Planck's constant $h$ is that it is a kind of quantitative measure of the departure …
Konstantinos Kanakoglou's user avatar