Eigenvalues in spectral gaps of the two-dimensional Pauli operator

2000 ◽  
Vol 41 (12) ◽  
pp. 7918-7931 ◽  
Author(s):  
Alexander Besch
Keyword(s):  
Two Dimensional ◽  
Spectral Gaps ◽  
Pauli Operator

scholarly journals Erratum to: “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles”

2011 ◽  
Vol 166 (2) ◽  
pp. 278-278 ◽  
Author(s):  
P. G. Grinevich ◽  
A. E. Mironov ◽  
S. P. Novikov
Keyword(s):  
Two Dimensional ◽  
Pauli Operator ◽  
Zero Level

Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for SPIN-1/2 particles

2010 ◽  
Vol 164 (3) ◽  
pp. 1110-1127 ◽  
Author(s):  
P. G. Grinevich ◽  
A. E. Mironov ◽  
S. P. Novikov
Keyword(s):  
Two Dimensional ◽  
Pauli Operator ◽  
Zero Level

Two-dimensional Pauli operator in a magnetic field

2011 ◽  
Vol 37 (10) ◽  
pp. 829-833 ◽  
Author(s):  
P. G. Grinevich ◽  
A. E. Mironov ◽  
S. P. Novikov
Keyword(s):  
Magnetic Field ◽  
Two Dimensional ◽  
Pauli Operator

On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator

2015 ◽  
Vol 70 (2) ◽  
pp. 299-329
Author(s):  
P G Grinevich ◽  
A E Mironov ◽  
S P Novikov
Keyword(s):  
Two Dimensional ◽  
Pauli Operator

scholarly journals QUANTIZATION OF THE HALL CONDUCTANCE AND DELOCALIZATION IN ERGODIC LANDAU HAMILTONIANS

2009 ◽  
Vol 21 (08) ◽  
pp. 1045-1080 ◽  
Author(s):  
FRANÇOIS GERMINET ◽  
ABEL KLEIN ◽  
JEFFREY H. SCHENKER
Keyword(s):  
Landau Level ◽  
Density Of States ◽  
Localization Length ◽  
Dynamical Localization ◽  
Integrated Density Of States ◽  
Two Dimensional ◽  
Spectral Gaps ◽  
Hall Conductance ◽  
Landau Hamiltonian ◽  
Minimal Rate

We prove quantization of the Hall conductance for continuous ergodic Landau Hamiltonians under a condition on the decay of the Fermi projections. This condition and continuity of the integrated density of states are shown to imply continuity of the Hall conductance. In addition, we prove the existence of delocalization near each Landau level for these two-dimensional Hamiltonians. More precisely, we prove that for some ergodic Landau Hamiltonians, there exists an energy E near each Landau level where a "localization length" diverges. For the Anderson–Landau Hamiltonian, we also obtain a transition between dynamical localization and dynamical delocalization in the Landau bands, with a minimal rate of transport, even in cases when the spectral gaps are closed.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

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