Exact and Approximate Solutions of Spectral Problems for the Schrödinger Operator on (−∞, ∞) with Polynomial Potential
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New exact representations for the solutions of numerous one-dimensional spectral problems for the Schrödinger operator with polynomial potential are obtained by using a technique based on the functional-discrete (FD) method. In the cases where the ordinary FD-method is divergent, we propose to use its modification, which proves to be quite efficient. The obtained theoretical results are illustrated by numerical examples.
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