Free particle in q-deformed configuration space |
| |
Authors: | Arthur Hebecker Wolfgang Weich |
| |
Institution: | (1) Sektion Physik der Universität München, Lehrstuhl Professor Wess, Theresienstraße 37, W-8000 Munich 2, Germany |
| |
Abstract: | The SO
q
(N)-invariant Schrödinger equation for the free particle is formulated in polar coordinates as a partial differential equation in noncommutative geometry. For each value of the total angular momentum, a Hilbert space of radial functions is constructed as the space of normalizable functions respective to the q-integral. The spectrum of the Hamiltonian is found to be discrete. |
| |
Keywords: | 46E20 81Q05 81R20 81R50 |
本文献已被 SpringerLink 等数据库收录! |