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Alternative quantisation condition for wavepacket dynamics in a hyperbolic double well
2020
Journal of Physics A: Mathematical and Theoretical
We propose an analytical approach for computing the eigenspectrum and corresponding eigenstates of a hyperbolic double well potential of arbitrary height or width, which goes beyond the usual techniques applied to quasi-exactly solvable models. We map the time-independent Schrödinger equation onto the Heun confluent differential equation, which is solved by using an infinite power series. The coefficients of this series are polynomials in the quantisation parameter, whose roots correspond to
doi:10.1088/1751-8121/abd267
fatcat:q5zqp7wlu5bt3exxe3nftogvhq