Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I

1986 ◽  
Vol 35 (1) ◽  
pp. 2201-2212 ◽  
Author(s):  
A. V. Sobolev
Keyword(s):  
Magnetic Field ◽  
Asymptotic Behavior ◽  
Electric Field ◽  
Quantum Particle ◽  
Energy Levels ◽  
Homogeneous Magnetic Field

Klein–Gordon oscillator with position-dependent mass in the rotating cosmic string spacetime

2018 ◽  
Vol 33 (04) ◽  
pp. 1850025 ◽  
Author(s):  
Bing-Qian Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Shu-Rui Wu
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Energy Levels ◽  
Homogeneous Magnetic Field ◽  
Spinless Particle ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Dependent Mass ◽  
String Background ◽  
Position Dependent Mass

A spinless particle coupled covariantly to a uniform magnetic field parallel to the string in the background of the rotating cosmic string is studied. The energy levels of the electrically charged particle subject to the Klein–Gordon oscillator are analyzed. Afterwards, we consider the case of the position-dependent mass and show how these energy levels depend on the parameters in the problem. Remarkably, it shows that for the special case, the Klein–Gordon oscillator coupled covariantly to a homogeneous magnetic field with the position-dependent mass in the rotating cosmic string background has the similar behaviors to the Klein–Gordon equation with a Coulomb-type configuration in a rotating cosmic string background in the presence of an external magnetic field.

scholarly journals Об одном нелинейном эффекте в теории сверхпроводимости

2019 ◽  
Vol 61 (11) ◽  
pp. 1995
Author(s):  
С.О. Гладков
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Flow Velocity ◽  
Penetration Depth ◽  
Nonlinear Effect ◽  
Homogeneous Magnetic Field ◽  
Hydrodynamic Flow ◽  
Magnetic Potential ◽  
Hydrodynamic Equations ◽  
London Penetration Depth

AbstractBased on the solution of the hydrodynamic equations and Maxwell’s equations, we show that an external quasi-homogeneous magnetic field leads to the emergence of a secondary electric field that is resulted from a nonlinear effect over magnetic potential A . This field is proved to exist in the region with a depth of $$\delta {\text{/}}2$$ , where δ is the London penetration depth. The hydrodynamic flow velocity is estimated.

The Zeeman Effect in Triplet States of Rotating Asymmetric Molecules

1975 ◽  
Vol 53 (19) ◽  
pp. 1853-1860 ◽  
Author(s):  
J. C. D. Brand ◽  
C. di Lauro ◽  
D. S. Liu
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Energy Levels ◽  
Zeeman Effect ◽  
Homogeneous Magnetic Field ◽  
Triplet States ◽  
Matrix Elements ◽  
The Matrix ◽  
Asymmetric Rotor ◽  
Magnetic Tuning

Intermediate field theory is used to obtain the matrix elements which determine the action of a homogeneous magnetic field on the energy levels of triplet states of asymmetric rotor molecules. Applications of these formulas are discussed (i) in relation to the Zeeman effect on the rotational fine structure of triplet–singlet transitions, where conditions are identified under which individual lines remain unbroadened by the field, and (ii) in connection with the magnetic tuning of singlet–triplet resonance.

Light Mixing and the Generation of the Second Harmonic in a Plasma in an External Magnetic Field

1965 ◽  
Vol 20 (6) ◽  
pp. 793-800 ◽  
Author(s):  
Wilhelm H. Kegel
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
External Electric Field ◽  
Second Harmonic ◽  
Scattered Light ◽  
Homogeneous Magnetic Field ◽  
Density Fluctuations ◽  
Wave Number ◽  
The Difference ◽  
Electron Gyrofrequency

The theory of light scattering in a plasma is extended by including an external electric field (e.g. the field of a laser beam) in calculating the density fluctuations. It is shown that in the presence of a time constant homogeneous magnetic field there arise density fluctuations with the frequency and the wave number of the external electric field. Expansions of the general expressions are obtained for the case that the frequency is large compared to the electron gyrofrequency. The special case that the external electric field is a transverse wave is discussed in detail.The light of a second beam may be scattered by these forced density fluctuations. The scattered light has the sum and the difference frequency of the two light beams, i.e. light mixing occurs. In the framework of this theory the effect occurs only if the two beams are parallel. - If one considers the scattering of the same beam that forces the density fluctuations, the scattered light is the second harmonic

Relativistic synchrotron plasma echo

1970 ◽  
Vol 4 (3) ◽  
pp. 471-476 ◽  
Author(s):  
E. Ott
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Vlasov Equation ◽  
Homogeneous Magnetic Field ◽  
Relativistic Plasma ◽  
Relativistic Velocity ◽  
Velocity Dependence ◽  
Self Consistent ◽  
Spatially Homogeneous

A self-consistent Vlasov equation treatment will be given for a type of echo which arises due to the relativistic velocity dependence of the gyrofrequency. We consider a relativistic plasma in a homogeneous magnetic field. If at t = 0 and t = T a spatially homogeneous external r.f. electric field is applied perpendicular to B0, then an echo response is produced at t = 2T. The amplitude of the echo is proportional to the amplitude of the first pulse multiplied by the square of the amplitude of the second pulse.

Pure NQR Quantum Computing

2002 ◽  
Vol 57 (6-7) ◽  
pp. 315-319 ◽  
Author(s):  
G. B. Furman ◽  
S. D. Goren
Keyword(s):  
Magnetic Field ◽  
Quantum Computing ◽  
Energy Spectrum ◽  
External Magnetic Field ◽  
Electric Field ◽  
Radio Frequency ◽  
Electric Field Gradient ◽  
Field Gradient ◽  
Energy Levels ◽  
Resonance Transition

It is shown that pure NQR can be utilized as a platform for quantum computing without applying a high external magnetic field. By exciting each resonance transition between quadrupole energy levels with two radio-frequency fields differing in phase and direction, the double degeneracy of the spin energy spectrum in an electric field gradient is removed. As an example, in the case of I = 7/2 (nuclei 133Cs or 123Sb) the energy spectrum has eight levels which can be used as three qubits.

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