A class of exact solutions for doubly anharmonic oscillators |
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| Authors: | Virendra Singh Anita Rampal S N Biswas K Datta |
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| Institution: | (1) Tata Institute of Fundamental Research, 400005 Bombay, India;(2) Department of Physics and Astrophysics, University of Delhi, 110007 Delhi, India |
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| Abstract: | The solution of a difference equation in the form of an infinite continued fraction is used to obtain a class of exact solutions for the eigenfunctions and eigenvalues of doubly anharmonic oscillators described by potentials of the type (1/2) 2x2+(1/4) x4+(1/6) x6, n>0, provided certain constraints on the couplings are satisfied. The class is denumerably infinite but not complete. |
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