Abstract
We consider the symplectic quantum tomogram associated with the Kohn electron density. We derive the equation for the tomographic-probability distribution corresponding to the Kohn–Sham approach.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Mancini, V. I. Man’ko, and P. Tombesi, Quantum Semiclass. Opt., 7, 615 (1995).
S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).
A. S. Arkhipov, Yu. E. Lozovik, V. I. Man’ko, and V. A. Sharapov, Theor. Math. Phys., 142, 311 (2005).
A. S. Arkhipov, Yu. E. Lozovik, and V. I. Man’ko, Phys. Lett. A, 328, 419 (2004).
A. S. Arkhipov and V. I. Man’ko, Phys. Rev. A, 71, 012101 (2005).
G. G. Amosov and V. I. Man’ko, J. Phys. A: Math. Gen., 38, 2173 (2005).
G. G. Amosov and V. I. Man’ko, Phys. Scr., 80, 025006 (2009).
P. Höhenberg and W. Kohn, Phys. Rev. B, 136, 864 (1964).
W. Kohn and L. J. Sham, Phys. Rev. A, 140, 1133 (1965).
E. P. Gross, Nuovo Cim., 20, 454 (1961).
L. P. Pitaevskii, Sov. Phys. JETP, 13, 451 (1961).
G. G. Amosov and V. I. Man’ko, Theor. Math. Phys., 142, 306 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Margarita Alexandrovna Man’ko on the occasion of her 70th birthday.
Rights and permissions
About this article
Cite this article
Amosov, G.G., Goranskaya, D. & Traskunov, I. Quantum tomography and Kohn density functional theory. J Russ Laser Res 31, 232–238 (2010). https://doi.org/10.1007/s10946-010-9140-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-010-9140-8