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On Spectral Analysis of an Integral-Difference Operator

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Abstract

A complete spectral analysis of an integral-difference operator arising as a collision operator in some nonequilibrium statistical physics models is presented. Eigenfunctions of both discrete and continuous spectrum are constructed.

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References

  1. Prigogine, I.: Non-Equilibrium Statistical Mechanics, Wiley-Interscience, New York, 1962.

    Google Scholar 

  2. Petrosky, T. and Prigogine, I.: Chaos, Solitons and Fractals 4 (1994), 311.

    Google Scholar 

  3. Petrosky, T. and Prigogine, I.: Adv. Chem. Phys. 99 (1997), 1.

    Google Scholar 

  4. Antoniou, I. and Tasaki, S.: Internat. J. Quant. Chem. 46 (1993), 425.

    Google Scholar 

  5. Petrosky, T. and Ordonez, G.: Liouville extension of quantum mechanics: 1-D gas with deltafunction interaction, submitted to Phys. Rev.

  6. Gradshtein, I. S. and Ryzhik, I. M.: Tables of Integrals, Sums, Series and Products, Fizmatgiz, Moscow, 1963.

    Google Scholar 

  7. Korn, G. A. and Korn, M. S.: Mathematical Handbook, McGraw-Hill, New York, 1968.

    Google Scholar 

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Melnikov, Y. On Spectral Analysis of an Integral-Difference Operator. Letters in Mathematical Physics 42, 379–387 (1997). https://doi.org/10.1023/A:1007481703103

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  • DOI: https://doi.org/10.1023/A:1007481703103

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