An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems

Details An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems

2007-02-26

arxiv.org/abs/quant-ph/0702235v1

Int. J. Mod. Phys. C 18, 1571(2007)

Physics

Quantum Physics

15 pages

Scientific paper

10.1142/S0129183107011583

Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrodinger equation to various exactly solvable sextic anharmonic oscillator and confining perturbed Coulomb models in $D$-dimensions. We show that the perturbed Coulomb problem with eigenvalue $E$ can be transformed to a sextic anharmonic oscillator problem with eigenvalue E. We also check the explicit relevance of these two related problems in higher-space dimensions. It is shown that exact solutions of these potentials exist when their coupling parameters with $k=D+2\ell $ appearing in the wave equation satisfy certain constraints.

Affiliated with

Also associated with

No associations

Rating

An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-132029