Bound state energies and scattering phase shifts in a short-range potential

S. N. Banerjee; Pratima Chakraborty

doi:10.1139/p81-217

Bound state energies and scattering phase shifts in a short-range potential

Canadian Journal of Physics ◽

10.1139/p81-217 ◽

1981 ◽

Vol 59 (11) ◽

pp. 1653-1657

Author(s):

S. N. Banerjee ◽

Pratima Chakraborty

Keyword(s):

Short Range ◽

Bound State ◽

Phase Shifts ◽

Wkb Approximation ◽

Short Range Potential ◽

Range Potential ◽

Pure Coulomb ◽

Screening Parameter ◽

Scattering Phase ◽

Scattering Phase Shifts

The semi-classical Wentzel–Kramers–Brillouin (WKB) approximation has been used to determine the bound state energies and scattering phase-shifts in a short range potential having a cut-off. The corresponding pure coulomb cases are found to follow as limiting cases when the screening parameter tends to zero. The mutual interrelationship between the bound state poles and the analyticity of the scattering amplitude has also been explored in the context of the WKB approximation.

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Bound States of Spinless Particles in a Short-Range Potential

Zeitschrift für Naturforschung A ◽

10.1515/zna-2015-0025 ◽

2015 ◽

Vol 70 (4) ◽

pp. 245-249 ◽

Cited By ~ 1

Author(s):

Hassan Hassanabadi ◽

Antonio Soares de Castro

Keyword(s):

Short Range ◽

Bound States ◽

Bound State ◽

Scalar Coupling ◽

Spinless Particle ◽

Vector Coupling ◽

Short Range Potential ◽

Range Potential ◽

Constraint Relation ◽

Potential Parameters

AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

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An integral equation program to calculate radial wave functions and scattering phase shifts of short-range local interactions

Computer Physics Communications ◽

10.1016/s0010-4655(84)82739-3 ◽

1984 ◽

Vol 35 ◽

pp. C-564

Author(s):

M.S. Stern

Keyword(s):

Integral Equation ◽

Short Range ◽

Phase Shifts ◽

Wave Functions ◽

Local Interactions ◽

Radial Wave ◽

Scattering Phase ◽

Scattering Phase Shifts

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Electron photocapture by bound state in scattering by short-range potential in strong laser field

Proceedings of 5th European Quantum Electronics Conference ◽

10.1109/eqec.1994.698126 ◽

2005 ◽

Author(s):

A.M. Popov ◽

E.A. Volkova

Keyword(s):

Laser Field ◽

Short Range ◽

Bound State ◽

Strong Laser Field ◽

Short Range Potential ◽

Strong Laser ◽

Range Potential

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Relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulth�n type: New, approximate formulae

Zeitschrift für Physik A Atoms and Nuclei ◽

10.1007/bf01411656 ◽

1983 ◽

Vol 312 (1-2) ◽

pp. 11-20 ◽

Cited By ~ 9

Author(s):

Wolfgang B�hring

Keyword(s):

Wave Function ◽

Coulomb Potential ◽

Bound State ◽

Phase Shifts ◽

Relativistic Scattering ◽

Scattering Phase ◽

Screened Coulomb Potential ◽

Scattering Phase Shifts ◽

Normalization Factors

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Bound state methods for elastic scattering phase shifts

Chemical Physics Letters ◽

10.1016/0009-2614(75)85156-6 ◽

1975 ◽

Vol 32 (1) ◽

pp. 6-10 ◽

Cited By ~ 8

Author(s):

M. Oppenheimer ◽

H. Doyle ◽

A. Dalgarno

Keyword(s):

Elastic Scattering ◽

Bound State ◽

Phase Shifts ◽

Scattering Phase ◽

Scattering Phase Shifts

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Approximate, non-relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulth�n type

Zeitschrift für Physik A Atoms and Nuclei ◽

10.1007/bf01419510 ◽

1983 ◽

Vol 310 (4) ◽

pp. 255-262 ◽

Cited By ~ 7

Author(s):

Wolfgang B�hring

Keyword(s):

Wave Function ◽

Coulomb Potential ◽

Bound State ◽

Phase Shifts ◽

Relativistic Scattering ◽

Scattering Phase ◽

Screened Coulomb Potential ◽

Scattering Phase Shifts ◽

Normalization Factors

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An integral equation program to calculate radial wave functions and scattering phase shifts of short-range local interactions

Computer Physics Communications ◽

10.1016/0010-4655(79)90099-7 ◽

1979 ◽

Vol 17 (4) ◽

pp. 365-374 ◽

Cited By ~ 2

Author(s):

M.S. Stern

Keyword(s):

Integral Equation ◽

Short Range ◽

Phase Shifts ◽

Wave Functions ◽

Local Interactions ◽

Radial Wave ◽

Scattering Phase ◽

Scattering Phase Shifts

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Transitions of electrons from a bound state into the continuous spectrum. Quadratic approximation in a model of a short-range potential

Theoretical and Mathematical Physics ◽

10.1007/bf01028561 ◽

1972 ◽

Vol 11 (2) ◽

pp. 460-469 ◽

Cited By ~ 9

Author(s):

A. Z. Devdariani

Keyword(s):

Continuous Spectrum ◽

Short Range ◽

Bound State ◽

Quadratic Approximation ◽

Short Range Potential ◽

Range Potential

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Stable solitary waves for pseudo-relativistic Hartree equations with short range potential

Nonlinear Analysis ◽

10.1016/j.na.2021.112275 ◽

2021 ◽

Vol 207 ◽

pp. 112275

Author(s):

Xiao Luo ◽

Tao Yang

Keyword(s):

Solitary Waves ◽

Short Range ◽

Short Range Potential ◽

Range Potential

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Semi-classical scattering phase shifts in the presence of metastable states

Proceedings of the Physical Society ◽

10.1088/0370-1328/88/2/303 ◽

1966 ◽

Vol 88 (2) ◽

pp. 285-292 ◽

Cited By ~ 32

Author(s):

M V Berry

Keyword(s):

Phase Shifts ◽

Metastable States ◽

Scattering Phase ◽

Scattering Phase Shifts

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