Energy spectrum in~the force field of~an~electrostatic image
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 109-115
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A new model is suggested for describing localized electronic states in the vicinity of the surface of liquid helium. The model exploits nonuniqueness of self-adjoint extensions of the hamiltonian for an electron moving in an electrostatic image-induced potential near the flat interface isolator–vacuum. Unlike the Grimes model, the model proposed has only one phenomenological parameter, the mixing angle. It is shown that a proper choice of the mixing angle makes it possible to present the complete explanation of spectroscopic data on electrical dipole transitions between one-particle electronic states localized above the surface of liquid $^4\mathrm{He}$ or $^3\mathrm{He}$.
@article{TMF_1989_78_1_a9,
author = {O. F. Dorofeev and B. A. Lysov and O. S. Pavlova and I. M. Ternov},
title = {Energy spectrum in~the force field of~an~electrostatic image},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {109--115},
publisher = {mathdoc},
volume = {78},
number = {1},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a9/}
}
TY - JOUR AU - O. F. Dorofeev AU - B. A. Lysov AU - O. S. Pavlova AU - I. M. Ternov TI - Energy spectrum in~the force field of~an~electrostatic image JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 109 EP - 115 VL - 78 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a9/ LA - ru ID - TMF_1989_78_1_a9 ER -
%0 Journal Article %A O. F. Dorofeev %A B. A. Lysov %A O. S. Pavlova %A I. M. Ternov %T Energy spectrum in~the force field of~an~electrostatic image %J Teoretičeskaâ i matematičeskaâ fizika %D 1989 %P 109-115 %V 78 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a9/ %G ru %F TMF_1989_78_1_a9
O. F. Dorofeev; B. A. Lysov; O. S. Pavlova; I. M. Ternov. Energy spectrum in~the force field of~an~electrostatic image. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 109-115. http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a9/