Rotation of a Rigid Diatomic Dipole Molecule in a Homogeneous Electric Field IV. New Phase-Integral Quantization Conditions, Very Accurate for Arbitrary Values of the Magnetic Quantum Number, Expressed in Terms of Complete Elliptic Integrals: Survey of the

Details Rotation of a Rigid Diatomic Dipole Molecule in a Homogeneous Electric Field IV. New Phase-Integral Quantization Conditions, Very Accurate for Arbitrary Values of the Magnetic Quantum Number, Expressed in Terms of Complete Elliptic Integrals: Survey of the Rotation of a Rigid Diatomic Dipole Molecule in a Homogeneous Electric Field IV. New Phase-Integral Quantization Conditions, Very Accurate for Arbitrary Values of the Magnetic Quantum Number, Expressed in Terms of Complete Elliptic Integrals: Survey of the

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994rspta.347...65e&link_type=abstract

Philosophical Transactions: Physical Sciences and Engineering, Volume 347, Issue 1682, pp. 65-81

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Scientific paper

New quantization conditions for the energy levels of a rigid diatomic dipole molecule in a homogeneous electric field of arbitrary strength, obtained by means of a phase-integral method involving phase-integral approximations of arbitrary order generated from two particular choices of the base function, are expressed in terms of complete elliptic integrals in the first, third and fifth order of the phase-integral approximation. Previous results, derived for one convenient choice of the parameter ξ 0 in the base function, namely ξ 0 = 1/2|m|, where m is the magnetic quantum number, are used, and new formulas are derived for the other convenient choice ξ 0 = 0. The accuracy of the eigenvalues obtained from the quantization conditions is demonstrated in a number of diagrams.

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