Geodesic
Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet with $S=1/2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 112-119
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

By solution of the Schrödinger equation in the continuum approximation, it is shown analytically that there exist excited eigenstates of the quasi-one-dimensional Ising antiferromagnet with spin $S=1/2$ in the form of spatially localized quantum states. Computer modeling of a discrete model of interacting solitons with allowance for the symmetry of the solutions gives eigenvalues of the Sturm sequence that differ from the solutions of the continuum approximation. The spectral and dispersion properties of the nonlinear bound states of lowest energy and the selection rules in resonance transitions in an external magnetic field applied parallel to and perpendicular to the axis of magnetic anisotropy are calculated. 
@article{TMF_1992_91_1_a7,
     author = {S. N. Martynov},
     title = {Spectral and dispersion properties of pair soliton states in a~quasi-one-dimensional anisotropic antiferromagnet with~$S=1/2$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {112--119},
     year = {1992},
     volume = {91},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a7/}
}
TY  - JOUR
AU  - S. N. Martynov
TI  - Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet with $S=1/2$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 112
EP  - 119
VL  - 91
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a7/
LA  - ru
ID  - TMF_1992_91_1_a7
ER  - 
%0 Journal Article
%A S. N. Martynov
%T Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet with $S=1/2$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 112-119
%V 91
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a7/
%G ru
%F TMF_1992_91_1_a7
S. N. Martynov. Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet with $S=1/2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 112-119. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a7/

[1] Mekata M., Adachi K., J. Phys. Soc. Japan, 44:3 (1978), 806–812 | DOI | MR

[2] Villain J., Physica B, 79 (1975), 1–12 | DOI

[3] Shiba H., Progr. Theor. Phys., 80:2 (1980), 466–478 | DOI

[4] Shiba H., Adachi K., J. Phys. Soc. Japan, 50:10 (1981), 3278–3283 | DOI

[5] Fogedby H. C., Theoretical Aspects of Mainly Low Dimensional Magnetic Systems, Springer-Verlag, Berlin, 1980 | MR

[6] Landau L. D., Lifshits E. M., Kvantovaya mekhanika. Nerelyativistskaya teoriya, Fizmatgiz, M., 1963 | MR

[7] Martynov S. N., Fizicheskie svoistva magnetikov, IF SOAN SSSR, Krasnoyarsk, 1990, 34–43

[8] Boucher J. P., Rius G., Henry Y., Europhys. Lett., 4(9) (1987), 1073–1078 | DOI

[9] Kikuchi H., Ajiro Y., J. Phys. Soc. Japan, 58:7 (1989), 2531–2546 | DOI