23 citations · 39 across the 3 of their papers we have counts for
3 papers
math.QA1998★ 8 cited
A Calculus Based on a q-deformed Heisenberg Algebra
B. L. Cerchiai, R. Hinterding, J. Madore +1
We show how one can construct a differential calculus over an algebra where position variables x and momentum variables p have be defined. As the simplest example we consider the o…
math.QA1998★ 23 cited
The Geometry of a -Deformed Phase Space
B. L. Cerchiai, R. Hinterding, J. Madore +1
The geometry of the -deformed line is studied. A real differential calculus is introduced and the associated algebra of forms represented on a Hilbert space. It is found that th…
math.QA1998★ 8 cited
q-deformed Hermite Polynomials in q-Quantum Mechanics
Ralf Hinterding, Julius Wess
The q-special functions appear naturally in q-deformed quantum mechanics and both sides profit from this fact. Here we study the relation between the q-deformed harmonic oscillator…