Skip to main content
Log in

On a family of commutative Wick symbols

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. H. Bethe, “Zur Theorie der Metall. 1. Eigenwerte und Eigenfunktionen, Atomkette,” Z. Phys.,71, 205 (1931).

    Google Scholar 

  2. F. A. Berezin, G. P. Pokhil, and V. M. Finkel'berg, “Schrödinger equation for a system of onedimensional particles with point interaction,” Vestn. Mosk. Univ. Mat. Mekh., No. 1, 21 (1964).

    Google Scholar 

  3. A. A. Tsvetkov, “On integrals of the motion of bosons with point interaction,” Vestn. Mosk. Univ. Mat. Mekh., No. 4, 61 (1977).

    Google Scholar 

  4. V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focussing and one-dimensional automodulation of waves in nonlinear media,” Zh. Eksp. Teor. Fiz.,61, 118 (1971).

    Google Scholar 

  5. J. Mozer, “Three integrable Hamiltonian systems connected with isospectral deformations,” Adv. Math.,16, 197 (1975).

    Google Scholar 

  6. F. Calogero, “Exactly solvable one-dimensional many-body problems,” Lett. Nuovo Cimento,13, 411 (1975).

    Google Scholar 

  7. S. I. Pidkuiko and A. M. Stepin, “Polynomial integrals of Hamiltonian systems,” Dokl. Akad. Nauk SSSR,239 50 (1978).

    Google Scholar 

  8. A. M. Perelomov, “Exact results for one-dimensional many-particle systems,” Fiz. Elem. Chastits At. Yadra,10, 850 (1979).

    Google Scholar 

  9. S. V. Manakov, “On the exact solution of a system of nonlinear Schrödinger equations,” Preprint 26-73 [in Russian], Institute of Nuclear Physics. Novosibirsk (1973).

    Google Scholar 

  10. F. A. Berezin, The Method of Second Quantization, New York (1966).

  11. I. M. Gel'fand and A. A. Dikii, “Resolvents and Hamiltonian systems,” Funktsional. Analiz i Ego Prilozhen.,11, 11 (1977).

    Google Scholar 

  12. A. Érdelyi et al., (eds), Higher Transcendental Functions, (California Institute of Technology II. Bateman M.S. Project), Vol. 3, McGraw Hill, New York (1955).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 47, No. 1, pp. 38–49, April, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsvetkov, A.A. On a family of commutative Wick symbols. Theor Math Phys 47, 302–310 (1981). https://doi.org/10.1007/BF01017019

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017019

Keywords

Navigation