Analytic WKB energy expression for the linear plus Coulomb potential

Seetharaman, M.; Raghavan, S.; Vasan, S S

doi:10.1088/0305-4470/16/3/005

Cited by 21 publications

(9 citation statements)

References 4 publications

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“…Linear plus Coulomb-type potential has been studied in the context the perturbation theory [101], with the WKB approximation [102] and the Bohr-Sommerfeld quantization [103]. Analytical solutions to the Schrödinger equation in the presence of a linear and Coulomb-type potentials have been discussed in the context of the quark systems [104] and in mesoscopic systems.…”

Section: Landau-type System Subject To a Coulomb-type Plus Lin-ear Co...mentioning

confidence: 99%

On a Neutral Particle with a Magnetic Quadrupole Moment in a Uniform Effective Magnetic Field

Fonseca

Bakke

2016

Advances in High Energy Physics

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Quantum effects on a Landau-type system associated with a moving atom with a magnetic quadrupole moment subject to confining potentials are analysed. It is shown that the spectrum of energy of the Landau-type system can be modified, where the degeneracy of the energy levels can be broken. In three particular cases, it is shown that the analogue of the cyclotron frequency is modified, and the possible values of this angular frequency of the system are determined by the quantum numbers associated with the radial modes and the angular momentum and by the parameters associated with confining potentials in order that bound states solutions can be achieved.

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Section: Landau-type System Subject To a Coulomb-type Plus Lin-ear Co...mentioning

confidence: 99%

On a Neutral Particle with a Magnetic Quadrupole Moment in a Uniform Effective Magnetic Field

Fonseca

Bakke

2016

Advances in High Energy Physics

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“…Conclusion. -Already in the past, it was found to be convenient to investigate the asymptotic behaviour of the eigenvalues of the radial Schrödinger equation when the azimuthal or the radial quantum number tends to infinity [2][3][4][5]. The explicit results were fragmentary [4,5].…”

Section: Z N Lmentioning

confidence: 99%

“…In other cases one had complicate relations, to be solved numerically, which involved special functions [2,3].…”

Section: Z N Lmentioning

confidence: 99%

“…In the extensive studies devoted to the WKB method there are only relatively few contributions to the evaluation of such integral. We mention, among the others, the papers by Seetharaman et al [2], by Thidé and Linnaeus [3], and by Brau [4].…”

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confidence: 95%

“…Evaluation of integral (2). -In [1] we made the following sufficient assumption about the potential profile (it implies that E → ∞ for l → ∞ or n → ∞): f (R) is a non-decreasing function which takes all values between 0 and ∞.…”

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confidence: 99%

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