Abstract
Two-centre integrals involving displaced and distorted (or squeezed) simple harmonic oscillator number states, the DSN states, are often encountered in the molecular spectroscopy and in the quantum theory of wave packets and light. For example, the Franck–Condon factors are overlap integrals of the DSN states. In this work, finite, closed and algebraic formulas are derived for the overlap, exponential, trigonometric and polynomial integrals.
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