Exact results for the potentials V=-ax2s+bx4S+2
- 21 March 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (6) , L269-L271
- https://doi.org/10.1088/0305-4470/24/6/004
Abstract
The condition for a double-well potential V=-ax2s+bx4s+2 (s=1, 2, 3, . . .) to have a negative energy branch is derived. For an arbitrary geometry of the well the total number of negative levels is determined. Some general features of the spectrum are pointed out. The results are based on a sequence of exactly obtainable zero energy solutions.Keywords
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