scholarly journals Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials

1995 ◽  
Vol 174 (2) ◽  
pp. 409-446 ◽  
Author(s):  
Piotr G. Grinevich ◽  
Roman G. Novikov
Keyword(s):  
Dispersion Relations ◽  
Energy Dispersion ◽  
Fixed Energy

Exact energy-dispersion relations forN-well superlattice configurations

1990 ◽  
Vol 42 (15) ◽  
pp. 9552-9561 ◽  
Author(s):  
Richard L. Liboff ◽  
Steven R. Seidman
Keyword(s):  
Dispersion Relations ◽  
Energy Dispersion ◽  
Exact Energy

Tight binding Hamiltonian and energy dispersion relations in monolayer graphene

TANSO ◽  
2019 ◽  
Vol 2019 (289) ◽  
pp. 159-171
Author(s):  
Yoshihiro Hishiyama ◽  
Yutaka Kaburagi
Keyword(s):  
Tight Binding ◽  
Dispersion Relations ◽  
Monolayer Graphene ◽  
Energy Dispersion

Relativistic energy-dispersion relations of 2D rectangular lattices

2017 ◽  
Vol 31 (09) ◽  
pp. 1750061
Author(s):  
Engin Ata ◽  
Doğan Demirhan ◽  
Fevzi Büyükkılıç
Keyword(s):  
Dispersion Relations ◽  
Rectangular Lattice ◽  
Relativistic Energy ◽  
Spin States ◽  
Transfer Matrices ◽  
Energy Dispersion ◽  
Valence States ◽  
Relativistic Approach ◽  
Exactly Solvable ◽  
Rectangular Lattices

An exactly solvable relativistic approach based on inseparable periodic well potentials is developed to obtain energy-dispersion relations of spin states of a single-electron in two-dimensional (2D) rectangular lattices. Commutation of axes transfer matrices is exploited to find energy dependencies of the wave vector components. From the trace of the lattice transfer matrix, energy-dispersion relations of conductance and valence states are obtained in transcendental form. Graphical solutions of relativistic and nonrelativistic transcendental energy-dispersion relations are plotted to compare how lattice parameters [Formula: see text], core and interstitial size of the rectangular lattice affects to the energy-band structures in a situation core and interstitial diagonals are of equal slope.

scholarly journals Constraining Non-linear Dirac Equations with Neutrino Oscillations

2019 ◽  
Vol 206 ◽  
pp. 09010
Author(s):  
James Asikin Cheung ◽  
Wei Khim Ng
Keyword(s):  
Neutrino Oscillations ◽  
Axiomatic Approach ◽  
Dispersion Relations ◽  
Energy Dispersion ◽  
Dirac Equations ◽  
Modified Dispersion Relations ◽  
Phenomenological Studies ◽  
Non Linear ◽  
Quantum Models ◽  
Linear Quantum

Considering the phenomenological studies of non-linear quantum models, we use an axiomatic approach to modify the Dirac Lagrangian. We apply constraints such as Hermiticity, locality, universality, etc to obtain various generic modified energy dispersion relations. After-which, we use the parameters from the neutrino oscillations to obtain bounds on these new modified dispersion relations.

Observation of the dispersion relations for quantized coherent spin waves excited by a microwave antenna

2020 ◽  
Vol 102 (21) ◽  
Author(s):  
Yoichi Shiota ◽  
Ryusuke Hisatomi ◽  
Takahiro Moriyama ◽  
Teruo Ono
Keyword(s):  
Spin Waves ◽  
Dispersion Relations ◽  
Microwave Antenna ◽  
Coherent Spin
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