@article{ZVMMF_1997_37_2_a10,
author = {V. A. Geiler and I. V. Chudaev},
title = {The spectrum of a quasi-two-dimensional system in a parallel magnetic field},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {214--222},
year = {1997},
volume = {37},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a10/}
}
TY - JOUR AU - V. A. Geiler AU - I. V. Chudaev TI - The spectrum of a quasi-two-dimensional system in a parallel magnetic field JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 214 EP - 222 VL - 37 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a10/ LA - ru ID - ZVMMF_1997_37_2_a10 ER -
%0 Journal Article %A V. A. Geiler %A I. V. Chudaev %T The spectrum of a quasi-two-dimensional system in a parallel magnetic field %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1997 %P 214-222 %V 37 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a10/ %G ru %F ZVMMF_1997_37_2_a10
V. A. Geiler; I. V. Chudaev. The spectrum of a quasi-two-dimensional system in a parallel magnetic field. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 2, pp. 214-222. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a10/
[1] Maan J. C., “Combined electric and magnetic field effects in semiconductor heterostructures”, Springer Ser. Solid-State Sci., 53, 1984, 183–191
[2] Huckestein B., Kümmel R., “Oscillating magnetization of quantum-well electrons in a parallel magnetic field”, Phys. Rev. B, 38:12 (1988), 8215–8217 | DOI
[3] Zheng H., Zhou H., “Influence of a parallel magnetic field on localization of disordered two-dimensional electrons in $\mathrm{GaAs}$/$\mathrm{Al}_x\mathrm{Ga}_{1-x}\mathrm{As}$ heterostructures”, Phys. Rev. B, 41:2 (1990), 1140–1143 | DOI
[4] H. Ehrenreich, D. Turnbull (eds.), Solid state physics, Advances in research and applications, 44, Acad. Press, Boston etc., 1991
[5] Dmitriev A. P., Emelyanov S. A., Ivanov S. V. i dr., “Gigantskii fototok v dvumernykh strukturakh v magnitnom pole, parallelnom $2D$ sloyu”, Pisma v ZhETF, 54:5 (1991), 279–282
[6] Altarelli M., “Electronic states in semiconductor semilattices and quantum wells: an overview”, Springer Ser. Solid-State Sci., 95, 1991, 215–232
[7] Boebinger G. S., Passner A., Pfeiffer L. N., West K. W., “Measurement of Fermi-surface distortion in double quantum well from in-plane magnetic field”, Phys. Rev. B, 43:15 (1991), 12673 | DOI
[8] De Dios Leyva M., Galindo V., “Interband optical absorption in superlattices in an in-plane magnetic field”, Phys. Rev. B, 48:7 (1993), 1518–1523
[9] Kurobe A., Castleton I. M., Linfield E. H. et al., “Wave functions and Fermi surface of strongly coupled two-dimensional electron gases investigated by in-plane magnetoresistance”, Phys. Rev. B, 50:7 (1994), 4889–4892 | DOI
[10] Maan J. C., “Optical studies of tunneling in a magnetic field”, Physica B, 201:1–3 (1994), 391–396 | DOI
[11] Ando E., Fauler A., Stern F., Elektronnye svoistva dvumernykh sistem, Mir, M., 1985
[12] Madelung O., Teoriya tverdogo tela, Nauka, M., 1980
[13] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1989
[14] Montambaux G., Littlewood P. B., ““Fractional” quantum Hall effect in a qusi-one-dimensional conductor”, Phys. Rev. Letts., 62:8 (1989), 953–956 | DOI
[15] Smith C. G., Pepper M., Newburry R. et al., “Transport in a superlattice of $1D$ ballistic channels”, J. Phys.: Condens. Matter., 2:14 (1990), 3405–3414 | DOI
[16] Leavitt R. P., “Exactly solvable one-dimensional model for impurity binding energies in quantum wells”, Phys. Rev. B, 37:12 (1988), 7118–7120 | DOI
[17] Maan J. C., “Magneto-optical properties of superlattices and quantum wells”, Surface Sci., 196:1–3 (1988), 518–532 | DOI
[18] Oelting S., Wieck A. D., Batke E., Merkt U., “Cyclotron masses of inversion electons in tilted magnetic field”, Surface Sci., 196:1–3 (1988), 273–278 | DOI
[19] Gerard G.-M., Marzin J.-Y., “Optical study of probability densities in quantum well eigenstates”, Surface Sci., 229:1–3 (1990), 433–438 | DOI
[20] Altarelli M., Platero G., “Magnetic hole levels in quantum wells in parallel magnetic field”, Surface Sci., 196:1 (1988), 540–544 | DOI
[21] Lee H. R., Oh H. G., George T. F., Um C. I., “Electron energy levels in a quantum well within an in-plane magnetic field”, J. Appl. Phys., 66:6 (1989), 2442–2445 | DOI
[22] Marx G., Huckestein B., Kümmel R., “Energy spectrum and barrier localization of quantum well electrons in parallel magnetic fields”, J. Phys.: Condens. Matter., 3:33 (1991), 6425–6432 | DOI
[23] Pavlov B. C., “Teoriya rasshirenii i yavnoreshaemye modeli”, Uspekhi matem. nauk, 42:6 (1987), 99–131 | MR
[24] Demkov Yu. N., Ostrovskii V. N., Metod potentsialov nulevogo radiusa v atomnoi fizike, Izd-vo LGU, L., 1975
[25] Albeverio S., Gestezi F., Kholden Kh., Kheeg-Kron R., Reshaemye modeli v kvantovoi mekhanike, Mir, M., 1991 | MR
[26] Geiler V. A., Margulis V. A., Chudaev I. V., “Garmonicheskii ostsillyator s dvizhuschimsya tochechnym vozmuscheniem”, Matem. modelirovanie, 7:5 (1995), 45 | Zbl
[27] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979 | MR
[28] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 1, Mir, M., 1973; т. 2, 1974
[29] Geiler V. A., Margulis V. A., Chuchaev I. I., “Potentsialy nulevogo radiusa i operatory Karlemana”, Sibirskii matem. zhurnal, 36:4 (1995), 828–841 | MR
[30] Colin de Verdier Y., “Pseudo-Laplaciens, I”, Ann. Inst. Fourier, 32:2 (1982), 275–286 | MR
[31] Avakian M. P., Pogosian G. S., Sissakian A. N., Ter-Antonyan V. M., “Spectroscopy of a singular linear oscillator”, Phys. Lett. A, 124:4–5 (1987), 233–236 | DOI
[32] Geiler V. A., “Dvumernyi operator Shredingera s odnorodnym magnitnym polem i ego vozmuscheniya periodicheskimi potentsialami nulevogo radiusa”, Algebra i analiz, 3:3 (1991), 1–48 | MR
[33] Fassari S., Inglese G., “On the spectrum of the harmonic oscillator with a $\delta$-type perturbation”, Helv. Phys. Acta, 67:6 (1994), 650–659 | MR | Zbl