FIZIKA B 9 (2000)  1, 1-10

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EIGENVALUES OF MULTITERM INVERSE-FRACTIONAL-POWER POTENTIALS

CAO XUAN CHUAN

01 Parvis du Breuil, 92160 Antony, France

Received 2 April 1999; revised manuscript received 8 December 1999

It is shown that eigenspectra corresponding to various interactions with three- and two-term inverse fractional power are, under certain conditions, analytically tractable either by using the solution of the biconfluent Heun's equation or by using the quasi-exactly solvable sl(2) symmetry approach.

PACS numbers: 03.65.Ge
UDC 530.145
Keywords: inverse fractional power potentials, three and two terms, biconfluent Heun's equation, sl(2) symmetry approach
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