35 citations · 193 across the 15 of their papers we have counts for
15 papers
Discretized Weyl-orbit functions: modified multiplication and Galois symmetry
Jiří Hrivnák, Mark A. Walton
We note a remarkable similarity between the discretized Weyl-orbit functions and affine modular data associated with Wess-Zumino-Novikov-Witten (WZNW) conformal field theories. Kno…
Flow of S-matrix poles for elementary quantum potentials
B. Belchev, S. G. Neale, M. A. Walton
The poles of the quantum scattering matrix (S-matrix) in the complex momentum plane have been studied extensively. Bound states give rise to S-matrix poles, and other poles corresp…
On Robin boundary conditions and the Morse potential in quantum mechanics
B. Belchev, M. A. Walton
The physical origin is investigated of Robin boundary conditions for wave functions at an infinite reflecting wall. We consider both Schrödinger and phase-space quantum mechanics (…
On character generators for simple Lie algebras
N. Okeke, M. A. Walton
We study character generating functions (character generators) of simple Lie algebras. The expression due to Patera and Sharp, derived from the Weyl character formula, is first rev…
On infinite walls in deformation quantization
S. Kryukov, M. A. Walton
We examine the deformation quantization of a single particle moving in one dimension (i) in the presence of an infinite potential wall, (ii) confined by an infinite square well, an…
Quantum Mechanics Another Way
J. Hancock, M. A. Walton, B. Wynder
Deformation quantization (sometimes called phase-space quantization) is a formulation of quantum mechanics that is not usually taught to undergraduates. It is formally quite simila…