Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms

Details Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms

2000-02-12

arxiv.org/abs/math-ph/0002036v2

J. Phys. A: Math. Gen. 33 (2000) 4203 - 4211

Physics

Mathematical Physics

13 pages, 1 figure, submitted to J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/33/22/320

PT symmetric complex potential V(r) = - r^4 + i a r^3 + b r^2 + i c r + i d/r
+ e/r^2 is studied. Arbitrarily large multiplets of its closed bound-state
solutions with real energies are shown obtainable quasi-exactly (i.e., with a
certain relationship between their charges and energies) from a single
underlying finite-dimensional secular equation.

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