scholarly journals Landau-level quantization of the yellow excitons in cuprous oxide

2018 ◽  
Vol 60 (8) ◽  
pp. 1585
Author(s):  
J. Heckotter ◽  
J. Thewes ◽  
D. Frohlich ◽  
M. Abmann ◽  
M. Bayer
Keyword(s):  
Magnetic Field ◽  
Quantum Number ◽  
Landau Level ◽  
Cuprous Oxide ◽  
Principal Quantum Number ◽  
Bohr Radius ◽  
Quantum Numbers ◽  
Magnetic Length ◽  
Level Quantization ◽  
The Magnetic Field

AbstractLately, the yellow series of P -excitons in cuprous oxide could be resolved up to the principal quantum number n = 25. Adding a magnetic field, leads to additional confinement normal to the field. Thereby, the transition associated with the exciton n is transformed into the transition between the electron and hole Landau levels with quantum number n , once the associated magnetic length becomes smaller than the related exciton Bohr radius. The magnetic field of this transition scales roughly as n ^–3. As a consequence of the extended exciton series, we are able to observe Landau level transitions with unprecedented high quantum numbers of more than 75.

scholarly journals Cyclotron Line Emission from Accretion onto a Magnetized Neutron Star

1981 ◽  
Vol 93 ◽  
pp. 233-233
Author(s):  
E. E. Salpeter
Keyword(s):  
Magnetic Field ◽  
Neutron Star ◽  
Landau Level ◽  
Optical Depth ◽  
Radiative Decay ◽  
Line Emission ◽  
Collisional Excitation ◽  
Magnetic Field Axis ◽  
Cyclotron Line ◽  
The Magnetic Field

For material accreting along the magnetic field axis of a neutron star, electrons are quantized into Landau orbits. Collisional excitation of the first excited Landau level, followed by radiative decay, leads to the emission of a cyclotron line. The expected line is broad, because the optical depth is large, and its shape is difficult to calculate. Redshifts due to the recoil of a scattering electron and blueshifts due to scattering from the infalling accretion column are being calculated by I. Wasserman, as well as the proton stopping length in the presence of a magnetic field.

The magnetic field dependence of the deformation potential materials in the square well confinement potential

Open Physics ◽  
2008 ◽  
Vol 6 (4) ◽  
Author(s):  
Joung Sug ◽  
Su Lee ◽  
Jong Kim
Keyword(s):  
Magnetic Field ◽  
Landau Level ◽  
Transition Process ◽  
Quantum Transition ◽  
Transition Line ◽  
Deformation Potential ◽  
Confinement Potential ◽  
Level Transition ◽  
Square Well ◽  
The Magnetic Field

AbstractWe study the optical Quantum Transition Line Shapes (QTLS) which show the absorption power and the Quantum Transition Line Widths (QTLW) of electron-deformation potential phonon interacting systems. In order to analyze the quantum transition, we compare the magnetic field dependencies of the QTLWand the QTLS on two transition processes, namely the intra-Landau level transition process and the inter-Landau level transition process. We apply the Quantum Transport theory (QTR) to the system in the confinement of electrons by square well confinement potential. We use the projected Liouville equation method with Equilibrium Average Projection Scheme (EAPS).

LANDAU LEVELS AND GEOMETRIC QUANTIZATION

1989 ◽  
Vol 04 (15) ◽  
pp. 3939-3949 ◽  
Author(s):  
J. R. KLAUDER ◽  
E. ONOFRI
Keyword(s):  
Magnetic Field ◽  
Landau Level ◽  
Free Particle ◽  
Geometric Quantization ◽  
Point Of View ◽  
Geometrical Approach ◽  
Higher Dimensional ◽  
Definition Of ◽  
The Magnetic Field ◽  
Quantum Counterpart

The geometrical approach to phase-space quantization introduced by Klauder [KQ] is interpreted in terms of a universal magnetic field acting on a free particle moving in a higher dimensional configuration space; quantization corresponds to freezing the particle to its first Landau level. The Geometric Quantization [GQ] scheme appears as the natural technique to define the interaction with the magnetic field for a particle on a general Riemannian manifold. The freedom of redefining the operators' ordering makes it possible to select that particular definition of the Hamiltonian which is adapted to a specific polarization; in this way the first Landau level acquires the expected degeneracy. This unification with GQ makes it clear how algebraic relations between classical observables are or are not preserved under quantization. From this point of view all quantum systems appear as the low energy sector of a generalized theory in which all classical observables have a uniquely assigned quantum counterpart such that Poisson bracket relations are isomorphic to the commutation relations.

scholarly journals Fisher Information of Free-Electron Landau States

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 268
Author(s):  
Takuya Yamano
Keyword(s):  
Quantum Number ◽  
Fisher Information ◽  
Free Electron ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Laguerre Polynomials ◽  
Polar Coordinates ◽  
Quantum Numbers ◽  
Lowest Landau Level ◽  
Cylindrical Polar Coordinates

An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates. However, this system has not been explored so far in terms of an information-theoretical viewpoint. Here, we focus on Fisher information associated with these Landau states specified by the two quantum numbers. Fisher information provides a useful measure of the electronic structure in quantum systems, such as hydrogen-like atoms and under some potentials. By numerically evaluating the generalized Laguerre polynomials in the radial densities, we report that Fisher information increases linearly with the principal quantum number that specifies energy levels, but decreases monotonically with the azimuthal quantum number m. We also present relative Fisher information of the Landau states against the reference density with m=0, which is proportional to the principal quantum number. We compare it with the case when the lowest Landau level state is set as the reference.

scholarly journals Direct Interband Light Absorption in Conical Quantum Dot

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
D. B. Hayrapetyan ◽  
A. V. Chalyan ◽  
E. M. Kazaryan ◽  
H. A. Sarkisyan
Keyword(s):  
Quantum Dot ◽  
Quantum Number ◽  
Light Absorption ◽  
Principal Quantum Number ◽  
Particle Energy ◽  
Geometrical Parameters ◽  
Quantum Numbers ◽  
Direct Light ◽  
Interband Light Absorption ◽  
Analytical Expressions

In the framework of the adiabatic approximation, the energy states of electron as well as the direct light absorption are investigated in conical quantum dot. Analytical expressions for particle energy spectrum are obtained. The dependence of the absorption edge on geometrical parameters of conical quantum dot is obtained. Selection rules are revealed for transitions between levels with different quantum numbers. In particular, it is shown that for the radial quantum number transitions are allowed between the levels with the same quantum numbers, and any transitions between different levels are allowed for the principal quantum number.

scholarly journals Remarks on fermions in a dipole magnetic field

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Jeff Murugan ◽  
Jonathan P. Shock ◽  
Ruach Pillay Slayen
Keyword(s):  
Magnetic Field ◽  
Landau Level ◽  
Strong Field ◽  
Level Structure ◽  
Small Radius ◽  
Current Loop ◽  
Spinless Fermion ◽  
Lowest Landau Level ◽  
Spinless Case ◽  
The Magnetic Field

Abstract This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center [1]. In this sequel, we extend our computations in two significant ways. The first is to a relativistic spin-$$ \frac{1}{2} $$ 1 2 fermion and the second concerns the interpretation of the physics. Whereas in [1] we speculated on the possibility of observing such condensed matter systems in the astrophysics of extreme magnetic sources such as neutron stars, the physical systems in this study are more down-to-earth objects such as a C60 fullerine enclosing a current loop. We unpack some of the details of our previous analysis for the spinless fermion on the dipole sphere and adapt it to solve the eigenvalue problem for the single-particle Dirac Hamiltonian. In the strong-field/small-radius limit, the spectrum of the spin-$$ \frac{1}{2} $$ 1 2 Hamiltonian, like the spinless case, exhibits a Landau level structure in the |m| ≪ Q regime. It features a new, additional (approximately) zero-energy lowest Landau level which persists into the |m| < Q regime. As in the spinless system, the spectrum exhibits level-crossing as the strength of the magnetic field increases, with the wavefunctions localising at the poles in the strong-field/small-radius limit.

On the Possible Electronic Structure of Atoms in a Space of Higher Dimension

2018 ◽  
pp. 222-238
Keyword(s):  
Schrödinger Equation ◽  
Quantum Number ◽  
Schrodinger Equation ◽  
Dimensional Space ◽  
Principal Quantum Number ◽  
Higher Dimension ◽  
Quantum Numbers ◽  
Spin Quantum ◽  
Spin Quantum Number ◽  
Quantum Cells

It is shown that the stationary Schrödinger equation describing the distribution of electrons in the vicinity of the atomic nucleus has a solution, in principle, for any dimensionality of the space around the nucleus. As an example, a solution of the Schrödinger equation in a five - dimensional space is obtained. It is shown that the solution of the Schrödinger equation in p - dimensional space has p quantum numbers: the principal quantum number, the orbital quantum number and p - 2 magnetic quantum numbers. Taking into account the spin quantum number, the total number of quantum numbers in p - dimensional space is p + 1. This leads to the possibility of increasing the number of quantum cells of orbitals and, consequently, to the possibility of increasing the valence of the elements.

scholarly journals LANDAU LEVEL GAP REDUCTION AT ABRUPT EDGES

1994 ◽  
Vol 08 (19) ◽  
pp. 1185-1193 ◽  
Author(s):  
I. BARTOŠ ◽  
B. ROSENSTEIN
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Landau Levels ◽  
Step Potential ◽  
Local Reduction ◽  
Magnetic Length ◽  
Multiple Step

For an electron localized near a finite rectangular step potential under strong magnetic field we found a profound local reduction of the gap between neighboring Landau levels.1,2 We investigate under what conditions the effect persists when the barrier gets smoother. The conclusion is that to get a substantial gap reduction the barrier gradient has to be larger than ħw c /a L (a L is the magnetic length). The sensitivity of the gap reduction is illustrated using tilted and multiple step barriers and finite stripe configurations.

scholarly journals Superconducting properties of vacuum in strong magnetic field

2014 ◽  
Vol 23 (06) ◽  
pp. 1430009 ◽  
Author(s):  
M. N. Chernodub
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
W Bosons ◽  
Meissner Effect ◽  
Quantum Numbers ◽  
Anisotropic Superconductivity ◽  
Type Ii Superconductivity ◽  
Electroweak Model ◽  
Electrically Charged ◽  
The Magnetic Field

We discuss superconducting phases of vacuum induced by strong magnetic field in the electroweak model and in Quantum Chromodynamics (QCD) at zero temperature. In these phases, the vacuum behaves as an anisotropic inhomogeneous superconductor which supports superconductivity along the axis of the magnetic field while in the transversal directions, the superconductivity does not exist. The magnetic-field-induced anisotropic superconductivity appears as a result of condensation of electrically charged spin-one particles, which are elementary W bosons in the case of the electroweak model and composite quark–antiquark pairs with quantum numbers of ρ-mesons in the case of QCD. Due to the anisotropic nature of superconductivity, the Meissner effect is absent. Intrinsic inhomogeneities of the superconducting ground state are characterized by ensembles of certain topological vortices in an analogy with a mixed Abrikosov state of a type-II superconductivity.

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