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
Prigogine, I.: Non-Equilibrium Statistical Mechanics, Wiley-Interscience, New York, 1962.
Petrosky, T. and Prigogine, I.: Chaos, Solitons and Fractals 4 (1994), 311.
Petrosky, T. and Prigogine, I.: Adv. Chem. Phys. 99 (1997), 1.
Antoniou, I. and Tasaki, S.: Internat. J. Quant. Chem. 46 (1993), 425.
Petrosky, T. and Ordonez, G.: Liouville extension of quantum mechanics: 1-D gas with deltafunction interaction, submitted to Phys. Rev.
Gradshtein, I. S. and Ryzhik, I. M.: Tables of Integrals, Sums, Series and Products, Fizmatgiz, Moscow, 1963.
Korn, G. A. and Korn, M. S.: Mathematical Handbook, McGraw-Hill, New York, 1968.
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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