Perturbation theory and the energy spectrum of normal Fermi systems

2001 ◽  
Vol 42 (5) ◽  
pp. 1987
Author(s):  
A. Ya. Povzner ◽  
Yu. A. Kukharenko
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Fermi Systems ◽  
Normal Fermi

scholarly journals Energy spectra of muonic atoms in quantum electrodynamics

2019 ◽  
Vol 204 ◽  
pp. 05007 ◽  
Author(s):  
A. E. Dorokhov ◽  
A. A. Krutov ◽  
A. P. Martynenko ◽  
F. A. Martynenko ◽  
O. S. Sukhorukova
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hyperfine Structure ◽  
Nuclear Structure ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Energy Spectra ◽  
Hyperfine Splittings ◽  
S States

Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.

scholarly journals Zero and First Sound in Normal Fermi Systems

2009 ◽  
Vol 158 (5-6) ◽  
pp. 773-805 ◽  
Author(s):  
Shohei Watabe ◽  
Aiko Osawa ◽  
Tetsuro Nikuni
Keyword(s):  
Fermi Systems ◽  
First Sound ◽  
Normal Fermi

scholarly journals The Stark effect with minimum length

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750010 ◽  
Author(s):  
H. L. C. Louzada ◽  
H. Belich
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hydrogen Atom ◽  
Electric Field ◽  
Stark Effect ◽  
Heisenberg Algebra ◽  
Uniform Electric Field ◽  
Minimum Length

We will study the splitting in the energy spectrum of the hydrogen atom subjected to an uniform electric field (Stark effect) with the Heisenberg algebra deformed leading to the minimum length. We will use the perturbation theory for cases not degenerate (n[Formula: see text]=[Formula: see text]1) and degenerate (n[Formula: see text]=[Formula: see text]2), along with known results of corrections in these levels caused by the minimum length applied purely to the hydrogen atom, so that we may find and estimate the corrections of minimum length applied to the Stark effect.

ENERGY SPECTRUM OF MOTT–WANNIER EXCITON STUDIED BY VIRTUE OF THE EXCITON ENTANGLED STATE REPRESENTATION INSTEAD OF K·P PERTURBATION THEORY

2005 ◽  
Vol 19 (13n14) ◽  
pp. 637-642 ◽  
Author(s):  
HONG-YI FAN ◽  
HUI ZOU ◽  
YUE FAN ◽  
QIU-YU LIU
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
New Approach

We introduce the exciton entangled state. We show that the energy spectrum of Mott–Wannier exciton can be exactly derived by virtue of the entangled state representation. In contrast to the K · P perturbation theory this new approach seems non-perturbative, direct and exact.

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