Abstract
We calculate wave functions in the momentum representation for bound states in the relativistic Kozlov-Nikishin model. We investigate the asymptotic behavior of entropy in the coordinate and momentum representations at various limiting transitions.
Similar content being viewed by others
References
V. V. Kozlov and E. M. Nikishin, Mosc. Univ. Math. Bull., 41, No. 5, 10–19 (1986).
J. S. Dehesa, R. J. Yanez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys., 39, 3050–3060 (1998); R. J. Yanez, W. Van Assche, and J. S. Dehesa, Phys. Rev. A, 50, 3065–3079 (1994); J. S. Dehesa, A. Martinez-Finkelshtein, and V. N. Sorokin, Phys. Rev. A, 66, 1–7 (2002); J. Math. Phys., 44, 36–47 (2003).
I. Bia-lynicki-Birula and J. Mycielski, Comm. Math. Phys., 44, 129–132 (1975).
S. Flügge, Practical Quantum Mechanics, Vols. 1, 2, Springer, Berlin (1971).
H. Bateman and A. Erdélyi, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vols. 1–3, McGraw-Hill, New York (1953, 1953, 1955).
G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, Cambridge (1922).
M. A. Prikhod’ko, Math. Notes, 78, 677–692 (2005).
H. Bateman and A. Erdélyi, eds., Tables of Integral Transforms (Based on notes left by H. Bateman), Vols. 1, 2, McGraw-Hill, New York (1954).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 3, pp. 444–458, September, 2006.
Rights and permissions
About this article
Cite this article
Prikhod’ko, M.A. Information entropy of the relativistic Kozlov-Nikishin model. Theor Math Phys 148, 1251–1263 (2006). https://doi.org/10.1007/s11232-006-0115-4
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11232-006-0115-4