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nlin.SI2000★ 9 cited
Quantal Two-Centre Coulomb Problem treated by means of the Phase-Integral Method II. Quantization Conditions in the Symmetric Case Expressed in Terms of Complete Elliptic Integrals. Numerical Illustration
N. Athavan, N. Fröman, M. Lakshmanan
The contour integrals, occurring in the arbitrary-order phase-integral quantization conditions given in a previous paper, are in the first- and third-order approximations expressed…
nlin.SI2000★ 12 cited
Quantal Two-Centre Coulomb Problem treated by means of the Phase-Integral Method III. Quantization Conditions in the General Case Expressed in Terms of Complete Elliptic Integrals. Numerical Illustration
N. Athavan, N. Fröman, M. Lakshmanan
In this paper we take up the quantal two-centre problem where the Coulomb centres have arbitrary positive charges. In analogy with the symmetric case, treated in the second paper o…
nlin.SI2000★ 12 cited
Quantal Two-Centre Coulomb Problem treated by means of the Phase-Integral Method I. General Theory
N. Athavan, P. O. Fröman, N. Fröman +1
The present paper concerns the derivation of phase-integral quantization conditions for the two-centre Coulomb problem under the assumption that the two Coulomb centres are fixed.…