Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r )...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/491648 |
| Summary: | The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar
S
(
r
)
and vector
V
(
r
)
Cornell potentials (with
S
(
r
)
>
V
(
r
)
) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal
n
and magnetic
m
quantum numbers. Further, we obtain the eigensolutions in any dimensional space
D
without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials. |
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| ISSN: | 1687-7357 1687-7365 |