Electron in the Field of a Molecule with an Electric Dipole Moment

Journal Article · Fri Mar 21 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.110401· OSTI ID:21123752

Alhaidari, A D ^[1]; Bahlouli, H ^[2]

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1. Shura Council, Riyadh 11212 (Saudi Arabia)
2. Physics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261 (Saudi Arabia)

In solving the eigenvalue wave equation, we relax the usual diagonal constraint on its matrix representation by allowing it to be tridiagonal. This results in a larger representation space that incorporates an analytic solution for the noncentral electric dipole pole potential cos{theta}/r{sup 2}, which was believed not to belong to the class of exactly solvable potentials. Consequently, we obtain closed form solution of the time-independent Schroedinger equation for an electron in the field of a molecule treated as a point electric dipole.

• OSTI ID: 21123752
• Journal Information: Physical Review Letters, Vol. 100, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.100.110401; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
EIGENVALUES
ELECTRIC DIPOLE MOMENTS
ELECTRIC DIPOLES
ELECTRONS
EXACT SOLUTIONS
MATHEMATICAL SPACE
MATRICES
MOLECULES
POTENTIALS
SCHROEDINGER EQUATION