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A Self-Adjoint Dilation of the Linear Boltzmann Operator

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Order,Disorder and Chaos in Quantum Systems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 46))

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Abstract

A self-adjoint dilation of the dissipative linear Boltzmann operator describing neutron transport or radiation transfer through a non-multiplicative medium is constructed.

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References

  1. P.D.Lax, R.S.Phillips. Scattering Theory. Academic Press, New York 1967.

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  2. B. Sz.-Nagy, C.Foias. Analyse Jarmonique des Operateurs de L’espace de Hilbert. Masson Et C1, Szeged-Bucharest 1967.

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  3. B.S.Pavlov. A Self-Adjoint Dilation of Dissipative Schroedinger Operator and Eigenfunction Expansion. Func. Anal. v.9, N 2, p. 87 (in Russian).

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  4. V.M. Adamjan, D.Z. Arov. On Unitary Conjuctions of Semi-Unitary Operators. Math.Investig. v. 1, N2, 1966 (in Russian).

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  5. K.M. Case, P.F. Zweifel. Linear Transport Theory. Addison-Wesley 1967.

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  6. Yu. A. Kuperin. A Self-Adjoint Dilation of One-Speed Transport Operator. Preprint INFN-ISS 89/10, Roma, 1989.

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Author information

Authors and Affiliations

  1. Department of Mathematical & Computational Physics, Institute for Physics, Leningrad University, Leningrad, 198904, USSR

    Yu. A. Kuperin

Authors
  1. Yu. A. Kuperin
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Editor information

Editors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office P.O. Box 79, MĂ´scow, USSR

    Pavel Exner  & Hagen Neidhardt  & 

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© 1990 Birkhäuser Verlag Basel

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Kuperin, Y.A. (1990). A Self-Adjoint Dilation of the Linear Boltzmann Operator. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_30

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_30

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7308-6

  • Online ISBN: 978-3-0348-7306-2

  • eBook Packages: Springer Book Archive

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