THE q-SCHRÖDINGER EQUATION
1990 ◽
Vol 05
(31)
◽
pp. 2625-2632
◽
Keyword(s):
We consider the Schrödinger equation for the one-dimensional harmonic oscillator, but with the normal derivative replaced by a q-derivative. The normalizable solutions are found and the q-generalization of the Hermite polynomials is given. The free equation is also considered, but no normalizable eigenstates exist even if the system is in a box.
2005 ◽
Vol 50
(8-9)
◽
pp. 1345-1362
◽
2009 ◽
Vol 238
(6)
◽
pp. 687-698
◽
1972 ◽
Vol 29
(19)
◽
pp. 1350-1353
◽
Keyword(s):
2018 ◽
Vol 40
(6)
◽
pp. A4083-A4104
◽