Magnetostatic mode in a sheared magnetic field

The effect of magnetic shear on the magnetostatic mode is considered. It is found that the lifetime of the mode is shortened, leading to a reduction of the corresponding cross-field diffusion.     

Superconducting fluctuations in a magnetic field

The rounding of the transition curve is measured for superconducting bismuth films in a perpendicular magnetic field. The contribution of the fluctuating superconducting wave function to the conductivity aboveT _c in an applied magnetic field is calculated with a simple model. The allowed states of the fluctuations are cylinders in momentum space. During their life time the fluctuating superconducting electrons can be accelerated by an electrical field and contribute to the conductivity. Experiment and theory are in fair agreement. We obtain some information about the Pauli spin paramagnetism of the electrons.     

Three-dimensional harmonic oscillator in a magnetic field

A solution is found for the Schrödinger equation for a three-dimensional oscillator in a constant and uniform external magnetic field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 86–89, April, 1971.     

Relativistic particle in a traveling magnetic field

A Hamiltonian formalism is applied to derive an exact solution to the equation of motion of a charged particle in the electromagnetic field of a traveling current wave. The particle motion is studied in a monochromatic magnetic field and in the traveling jump-like front of the magnetic field, and the wave mechanism for betatron acceleration is analyzed. It is shown that, in each of these situations, a charged particle can be accelerated simultaneously in both the longitudinal and transverse directions.     

Three-dimensional anisotropic harmonic oscillator in a magnetic field

The problem of the energy levels of a three-dimensional anisotropic harmonic oscillator in a uniform magnetic field with an arbitrary strength and orientation is exactly solved. It is shown that, in the magnetic field, the levels continue to be equidistant: the energy spectrum is a superposition of three groups of levels separated by the same spacing dependent on the field strength. The results obtained can be used in modeling the magneto-optical properties of diverse quantum-mechanical systems.     

Three-dimensional magnetic field enhancement in a liner implosionsystem

The magnetic field enhancement is calculated for a magnetically imploded liner system that has flux excluding radial vanes. For the thinnest vane tested the field is found to concentrate at the vanes to a maximum value of almost three times its ambient value with a corresponding temperature increase well above the melting point. These values are calculated using the three-dimensional magnetohydrodgnamic code, MACH3. Calculations are performed for three vane thicknesses, and the vane movement is estimated. A bound is established on the design specification of the vanes based the disruption of current delivery to the liner due to the movement of the vanes     

Squeezed states of a particle in magnetic field

For a charged particle in a homogeneous magnetic field, we construct stationary squeezed states which are eigenfunctions of the Hamiltonian and the non-Hermitian operator , and Ŷ being the coordinates of the Larmor circle center and Φ is a complex parameter. In the family of the squeezed states, the quantum uncertainty in the Larmor circle position is minimal. The wave functions of the squeezed states in the coordinate representation are found and their properties are discussed. Besides, for arbitrary gauge of the vector potential we derive the symmetry operators of translations and rotations. Fiz. Tverd. Tela (St. Petersburg) 40, 1405–1412 (August 1998) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

Three-dimensional ordering of impurity-doped TMMC in a magnetic field

The three-dimensional ordering temperatures of the quasi-one-dimensional antiferromagnet (CH₃)₄NMnCl₃ containing 0, 0.13, 0.25 and 0.48 at% Cu²⁺ ions were studied as a function of an external magnetic field up to 60 kOe by means of proton NMR. A strong increase of T_N(H) with H was found even for the impure system. The T_N versus H curve for the pure system cam be explained by introducing a simple form for the effect of the field on the correlation length, ξ(T, H) = ξ(T) × [1+(λJ/kT)H²], while that for the impure system is unlike the one for the pure system.     

Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field

Summary An analytic solution is found for the evolution of the state of polarization of an electromagnetic wave propagating in a plasma with uniformly sheared magnetic field. It is the generalization of the one found previously for the special case of propagation perpendicular to the magnetic field.     

Spin-1 particle in a homogeneous magnetic field

The Corben-Schwinger theory gives imaginary values of the energy, forS ₃ ² =1 states, in very intensive magnetic fields. The theory proposed by the author, which is most satisfactory in the nonrelativistic approximation, does not have this defect forS ₃ ² =1 states, but it appears forS ₃ ² =0 states.     

Brownian motion of a charged particle in a magnetic field

We develop and numerically illustrate an exact solution of the multivariate, stochastic, differential equations that govern the velocity and position of a charged particle in a plane normal to a uniform, stationary, magnetic field. The equations self-consistently incorporate the Lorentz force into an Ornstein-Uhlenbeck collision model. Properties of the solution in the infinite dissipation limit are explored and the spectral energy density function is found     

Statistics of magnetic field fluctuations in a partially ionized space plasma

Voyager 1 and 2 data reveals that magnetic field fluctuations are compressive and exhibit a Gaussian distribution in the compressed heliosheath plasma, whereas they follow a lognormal distribution in a nearly incompressible supersonic solar wind plasma. To describe the evolution of magnetic field, we develop a nonlinear simulation model of a partially ionized plasma based on two-dimensional time-dependent multifluid model. Our model self-consistently describes solar wind plasma ions, electrons, neutrals and pickup ions. It is found from our simulations that the magnetic field evolution is governed by mode conversion process that leads to the suppression of vortical modes, whereas the compressive modes are amplified. An implication of the mode conversion process is to quench the Alfvénic interactions associated with the vortical motions. Consequently anisotropic cascades are reduced. This is accompanied by the amplification of compressional modes that tend to isotropize the plasma fluctuations and lead to a Gaussian distribution of the magnetic field.     

The ion Larmor radius effects on the interchange instability in a sheared magnetic field

The localized interchange instability in a low β collisionless plasma is studied as an eigenvalue problem in the presence of magnetic shear. It is found that while shear is always stabilizing, the ion Larmor radius effects become destabilizing if the shear exceeds a certain value.     

Wave-trapped particle interaction in a weak transverse magnetic field

Damping of an electrostatic plasma wave loaded with a small density bunches of trapped electrons and propagating across a weak magnetic field is studied. To describe the time evolution of the wave, simple algebraic equations are derived under some restrictions on the parameters of the physical system. It is shown that the nonlinear frequency shift of the wave due to the presence of the trapped particles plays an important role and must be taken into account in the self-consistent treatment of the wave–particle interaction.