scholarly journals From spatially indirect excitons to momentum-space indirect excitons by an in-plane magnetic field

2000 ◽  
Vol 62 (3) ◽  
pp. 1548-1551 ◽  
Author(s):  
L. V. Butov ◽  
A. V. Mintsev ◽  
Yu. E. Lozovik ◽  
K. L. Campman ◽  
A. C. Gossard
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Indirect Excitons

Electron propagator solution for an inhomogeneous magnetic field in the momentum space representation

2020 ◽  
Vol 35 (25) ◽  
pp. 2050150
Author(s):  
H. Hamdi ◽  
H. Benzair
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Relativistic Quantum ◽  
Inhomogeneous Magnetic Field ◽  
Relativistic Quantum Mechanics ◽  
Space Representation ◽  
Integral Formalism ◽  
Field Problem ◽  
Energy Eigenvalues ◽  
Transformation Methods

The relativistic quantum mechanics of the electron in an inhomogeneous magnetic field problem is solved exactly in terms of the momentum space path integral formalism. We adopt the space–time transformation methods, which are [Formula: see text]-point discretization dependent, to evaluate quantum corrections. The propagator is calculated, the energy eigenvalues and their associated curves are illustrated. The limit case is then deduced for a small parameter.

scholarly journals (2+1)-Dimensional Duffin-Kemmer-Petiau Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Noncommutative Space

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Bing-Qian Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Shu-Rui Wu
Keyword(s):  
Magnetic Field ◽  
Probability Density ◽  
Momentum Space ◽  
Jacobi Polynomials ◽  
Minimal Length ◽  
Wave Functions ◽  
Noncommutative Space ◽  
Space Representation ◽  
Energy Eigenvalues ◽  
Special Cases

Using the momentum space representation, we study the (2 + 1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues is found, and the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.

scholarly journals Quantum Mechanics with a Momentum-Space Artificial Magnetic Field

2014 ◽  
Vol 113 (19) ◽  
Author(s):  
Hannah M. Price ◽  
Tomoki Ozawa ◽  
Iacopo Carusotto
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Momentum Space

scholarly journals Minimal Length Schrödinger Equation with Harmonic Potential in the Presence of a Magnetic Field

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Momentum Space ◽  
Schrodinger Equation ◽  
Hypergeometric Functions ◽  
Minimal Length ◽  
Wave Functions ◽  
Harmonic Potential ◽  
Energy Eigenvalues

Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnetic field and illustrates the wave functions in the momentum space. The energy eigenvalues are reported and the corresponding wave functions are calculated in terms of hypergeometric functions.

scholarly journals Oscillations of the degree of circular polarization in the optical spin Hall effect

2018 ◽  
Vol 60 (8) ◽  
pp. 1582
Author(s):  
D. Schmidt ◽  
B. Berger ◽  
M. Bayer ◽  
C. Schneider ◽  
S. Hofling ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Hall Effect ◽  
Momentum Space ◽  
Spin Hall Effect ◽  
Effective Magnetic Field ◽  
Exciton Polaritons ◽  
Semiconductor Microcavities ◽  
Space Dynamics ◽  
Good Agreement

AbstractThe optical spin Hall effect appears when elastically scattered exciton polaritons couple to an effective magnetic field inside of quantum wells in semiconductor microcavities. Theory predicts an oscillation of the pseudospin of the exciton polaritons in time. Here, we present a detailed analysis of momentum space dynamics of the exciton polariton pseudospin. Compared to what is predicted by theory, we find a higher modulation of the temporal oscillations of the pseudospin. We attribute the higher modulation to additional components of the effective magnetic field which have been neglected in the foundational theory of the optical spin Hall effect. Adjusting the model by adding non-linear polariton-polariton interactions, we find a good agreement in between the experimental results and simulations.

(2+1)-dimensional Klein–Gordon oscillator under a magnetic field in the presence of a minimal length in the noncommutative space

2017 ◽  
Vol 32 (25) ◽  
pp. 1750148 ◽  
Author(s):  
Shu-Rui Wu ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Bing-Quan Wang ◽  
Yun Liu
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Jacobi Polynomials ◽  
Energy Eigenvalue ◽  
Minimal Length ◽  
Numerical Results ◽  
Noncommutative Space ◽  
Space Representation ◽  
Special Cases ◽  
Klein Gordon

The (2[Formula: see text]+[Formula: see text]1)-dimensional Klein–Gordon oscillator under a magnetic field in the presence of a minimal length in the noncommutative (NC) space is analyzed via the momentum space representation. Energy eigenvalue of the system is obtained by employing the Jacobi polynomials. In further steps, the special cases are discussed and the corresponding numerical results are depicted, respectively.

scholarly journals Momentum space toroidal moment in a photonic metamaterial

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Biao Yang ◽  
Yangang Bi ◽  
Rui-Xing Zhang ◽  
Ruo-Yang Zhang ◽  
Oubo You ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Domain Wall ◽  
Momentum Space ◽  
Condensed Matter ◽  
Three Dimensional ◽  
Vital Role ◽  
Condensed Matter Physics ◽  
Berry Curvature ◽  
Shaped Domain ◽  
The Magnetic Field

AbstractBerry curvature, the counterpart of the magnetic field in the momentum space, plays a vital role in the transport of electrons in condensed matter physics. It also lays the foundation for the emerging field of topological physics. In the three-dimensional systems, much attention has been paid to Weyl points, which serve as sources and drains of Berry curvature. Here, we demonstrate a toroidal moment of Berry curvature with flux approaching to π in judiciously engineered metamaterials. The Berry curvature exhibits a vortex-like configuration without any source and drain in the momentum space. Experimentally, the presence of Berry curvature toroid is confirmed by the observation of conical-frustum shaped domain-wall states at the interfaces formed by two metamaterials with opposite toroidal moments.

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