Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics
Journal Article
·
· Journal of Mathematical Physics
- National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101 (Philippines)
Using the momentum-space approach, we obtain bound states for multiple Dirac-δ wells in the framework of space-fractional quantum mechanics. Introducing first an attractive Dirac-comb potential, i.e., Dirac comb with strength −g (g > 0), in the space-fractional Schrödinger equation we show that the problem of obtaining eigenenergies of a system with N Dirac-δ wells can be reduced to a problem of obtaining the eigenvalues of an N × N matrix. As an illustration we use the present matrix formulation to derive expressions satisfied by the bound-state energies of N = 1, 2, 3 delta wells. We also obtain the corresponding wave functions and express them in terms of Fox's H-function.
- OSTI ID:
- 22251651
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics
Green’s functions and energy eigenvalues for delta-perturbed space-fractional quantum systems
Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
Journal Article
·
Wed Jan 15 00:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22251651
Green’s functions and energy eigenvalues for delta-perturbed space-fractional quantum systems
Journal Article
·
Mon Feb 15 00:00:00 EST 2016
· Journal of Mathematical Physics
·
OSTI ID:22251651
Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
Journal Article
·
Thu May 15 00:00:00 EDT 2008
· Journal of Mathematical Physics
·
OSTI ID:22251651