Abstract
The problem of the shape of the NMR line in solids has been solved in quadratures. Although the constructed solution is based on exact results obtained by the authors, the possibility for a correct description of experimental data on the basis of lower approximations of the theory essentially depends on the crystal lattice type. Only the spectra of crystals with ordinary dense lattices (rather than, e.g., quasi-one-dimensional systems) can be adequately described in lower approximations, which is a very urgent problem. Comparison of theoretical and experimental results has resulted in good agreement.
Similar content being viewed by others
References
P. Resibois and M. De Leener,Phys. Rev.,152, 305; 318 (1966).
G. Sauerman and D. Wiegand,Physica,103B, 309 (1980).
A. A. Lundin and A. B. Makarenko,Zh. Eksp. Teor. Fiz.,87, 999 (1984); A. A. Lundin,Zh. Eksp. Teor. Fiz.,102, 352 (1992).
V. E. Zobov,Teor. Mat. Fiz.,84, 111–119 (1990).
M. Bohm et al.,Phys. Rev. B,49, 417 (1994).
V. E. Zobov and A. A. Lundin,Zh. Eksp. Teor. Fiz.,106, 1097 (1994).
N. Bloembergen, E. M. Purcell, and R. V. Pound,Phys. Rev.,73, 679 (1948).
A. Abragam,Principles of Nuclear Magnetism [Russian translation] (Chaps. 4, 10), Mir, Moscow (1963).
P. W. Anderson and P. R. Weiss,Rev. Mod. Phys.,25, 269 (1953);J. Phys. Soc. (Japan),9, 316 (1954).
R. Kubo and K. Tomita,J. Phys. Soc. (Japan),9, 888 (1954).
I. J. Lowe and R. E. Norberg,Phys. Rev.,107, 46 (1957).
A. A. Lundin, A. V. Makarenko, and V. E. Zobov,J. Phys.: Condens. Matter,2, 10131 (1990).
F. Lado, J. D. Memory, and G. W. Parker,Phys. Rev. B,4, 1406 (1971).
A. A. Lundin and B. N. Provotorov,Zh. Eksp. Teor. Fiz.,70, 2201 (1976).
N. Dunford and D. Schwartz,Linear Operators [Russian translation] (Part 1, Ch. VII), Izd. Inostr. Lit., Moscow (1962).
L. A. Liusternik and V. I. Soboloev,Elements of the Functional Analysis [in Russian], GITTL, Moscow-Leningrad (1951).
A. A. Samarskii and A. V. Gulin,Numerical Methods [in Russian], Nauka, Moscow (1989).
M. A. Lavrentiev and B. V. Shabat,Complex Variable Theory Methods [in Russian], Nauka, Moscow (1973).
A. A. Lundin and A. V. Makarenko,Fiz. Tverd. Tela,28, 2885 (1986).
A. Sur and I. J. Lowe,Phys. Rev. B,12, 4597 (1975).
M. Engelsberg and I. J. Lowe,Phys. Rev. B,10, 822 (1974).
V. D. Fedotov and N. A. Abdrashitova,Vysokomolek. Soedin.,22A, 624 (1980).
M. Engelsberg and I. J. Lowe,Phys. Rev. B,12, 3547 (1975).
M. Engelsberg and Chao Nai-Cheng,Phys. Rev. B,12, 5043 (1975). Translated by M. V. Chekhova.
Author information
Authors and Affiliations
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 106, No. 3, pp. 452–468, March, 1996.
Translated by M. V. Chekhova.
Rights and permissions
About this article
Cite this article
Bodneva, V.L., Lundin, A.A. & Milyutin, A.A. Possibility of a reduced description for the spin dynamics of anisotropic Heisenberg paramagnets and the shape of NMR spectra in solids. Theor Math Phys 106, 370–384 (1996). https://doi.org/10.1007/BF02071482
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02071482