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Coherent states of nonstationary soliton potentials

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Abstract

With the help of a nonstationary Darboux transformation, we have obtained a system of coherent states for the potential which is a solution of the Kadomtsev-Petviashvili equation. We have determined the measure realizing expansion of unity with respect to these states. We have constructed a holomorphic representation of the state vectors and the ladder operators for the discrete basis of the Hilbert space of solutions of the Schrödinger equation.

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Authors
  1. V. G. Bagrov
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  2. B. F. Samsonov
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  3. L. A. Shekoyan
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Additional information

Tomsk State University. Institute of High-Current Electronics, Siberian Branch, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp 84–90, January, 1998.

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Bagrov, V.G., Samsonov, B.F. & Shekoyan, L.A. Coherent states of nonstationary soliton potentials. Russ Phys J 41, 60–66 (1998). https://doi.org/10.1007/BF02813683

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