Abstract:
For the two-dimensional Lorentz-invariant model of the hydrogen atom, we obtain wave functions of bound states in coordinate representation and, for nonexcited (in time) states, also in momentum representation. For such states, the short-wave asymptotics of the information entropy is studied.
Citation:
M. A. Prikhod'ko, “Asymptotics of Information Entropy for the Two-Dimensional Analog of the Relativistic Hydrogen Atom in the Kozlov–Nikishin Model”, Mat. Zametki, 78:5 (2005), 727–744; Math. Notes, 78:5 (2005), 677–692
\Bibitem{Pri05}
\by M.~A.~Prikhod'ko
\paper Asymptotics of Information Entropy for the Two-Dimensional Analog of the Relativistic Hydrogen Atom in the Kozlov--Nikishin Model
\jour Mat. Zametki
\yr 2005
\vol 78
\issue 5
\pages 727--744
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\transl
\jour Math. Notes
\yr 2005
\vol 78
\issue 5
\pages 677--692
\crossref{https://doi.org/10.1007/s11006-005-0171-3}
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Linking options:
https://www.mathnet.ru/eng/mzm2636
https://doi.org/10.4213/mzm2636
https://www.mathnet.ru/eng/mzm/v78/i5/p727
This publication is cited in the following 2 articles:
Ya. V. Tatarinov, “Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem”, Theoret. and Math. Phys., 166:3 (2011), 369–384
M. A. Prikhod'ko, “Information entropy of the relativistic Kozlov–Nikishin model”, Theoret. and Math. Phys., 148:3 (2006), 1251–1263