Geometric phase of spin-1 in a rotating magnetic field

The quantum phase and the related fields have attracted considerable attention. The geometric phase of spin-1/2 particle in the magnetic field has been discussed comprehensively, but few of spin-1. In this paper, the exact solution of spin-1 was obtained by using rotational frame method. The problems of the Rabi oscillation, dynamical phase, and geometric phase were solved.     

Spectrum of Schrödinger field in a noncommutative magnetic monopole

The energy spectrum of a nonrelativistic particle on a noncommutative sphere in the presence of a magnetic monopole field is calculated. The system is treated in the field theory language, in which the one-particle sector of a charged Schrödinger field coupled to a noncommutative U(1) gauge field is identified. It is shown that the Hamiltonian is essentially the angular momentum squared of the particle, but with a nontrivial scaling factor appearing, in agreement with the first-quantized canonical treatment of the problem. Monopole quantization is recovered and identified as the quantization of a commutative Seiberg–Witten mapped monopole field.     

The ising model in a magnetic field of ½iπ

The result of Lee and Yang for the free energy of a square two-dimensional Ising model in a magnetic field of ½iπ is shown to be correct only if the thermodynamic limit is approached through even numbers of lattice sites. Derivations of this result are given by the algebraic (Onsager-Kaufman) method and the fermion operator (Hurst) method.     

Do semiclassical zero temperature black holes exist?

The semiclassical Einstein equations are solved to first order in epsilon = Planck's over 2pi/M2 for the case of a Reissner-Nordstr?m black hole perturbed by the vacuum stress energy of quantized free fields. Massless and massive fields of spin 0, 1/2, and 1 are considered. We show that in all physically realistic cases, macroscopic zero temperature black hole solutions do not exist. Any static zero temperature semiclassical black hole solutions must then be microscopic and isolated in the space of solutions; they do not join smoothly onto the classical extreme Reissner-Nordstr?m solution as epsilon-->0.     

Do neutrinos have mass?

Limits on neutrino masses are discussed, both from kinematical considerations (3-body weak decays, etc.) and from dynamical neutrino mass effects (oscillations). The Dirac versus Majorana question is addressed as well and typical limits from neutrinoless double-beta decay are presented.     

Cauchy magnetic field component and magnitude distribution studied by the zero‐field muon spin relaxation technique

Zero‐field muon spin relaxation (ZF‐μSR) data for dilute spin magnetic systems have been widely interpreted with what is called a Kubo–Toyabe form based on a Lorentzian distribution of local field components. We derive here the proper magnetic field magnitude distribution using independent and uncorrelated component distributions. Our result is then compared to the previously accepted formula for ZF‐μSR. We discuss the origins of the magnetic field component and magnitude distributions. Further, we found that after rescaling the magnetic field, the differences that are amenable to experimental examination are quite small, although the interpretations behind them are quite different. This revised version was published online in August 2006 with corrections to the Cover Date.     

A disordered two-dimensional system in a magnetic field: Borel-Padé analysis

We report on a calculation of the density of states and the diffusion constant for the lowest Landau level for an electron moving in two dimensions in a random potential, and under a strong magnetic field. The calculation is based on renormalized perturbation expansion carried out to very high orders, which is summed using the method of Borel-Padé analysis. The results are obtained from an extensive series analysis involving 45 terms in the white noise case and 36 terms in the case of a spatially correlated random potential.     

Bloch electrons in a magnetic field: why does chaos send electrons the hard Way?

We find that a 2D periodic potential, with different modulation amplitudes in the x and y directions, and a perpendicular magnetic field may lead to a transition to electron transport along the direction of stronger modulation and to localization in the direction of weaker modulation. In the experimentally accessible regime we relate this new quantum transport phenomenon to avoided band crossings due to classical chaos.     

Radiation from relativistic electrons during entry into a magnetic field andβ decay in the field

This paper considers the radiation emitted when a nucleus experiences decay in a magnetic field, producing relativistic electrons. The spectral-angular distribution of the radiation from relativistic electrons in a sharply delineated magnetic field was also found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 92–95, March, 1976.In conclusion, the authors express their gratitude to Prof. A. A. Sokolov for the stimulating interest he took in the paper and extend their thanks to V. Ch. Zhukovskii for his helpful discussion of the results obtained.     

Fluorescence spectra of uranium induced by a linearly polarized laser light in a magnetic field

In this paper we reported the fluorescence spectra of U~(238) induced by a linearly polarized laser field in a magnetic field and offered a theoretical analysis. The consistence between the theoretical prediction and experimental results was satisfactory.     

Superconductivity in SnO: a nonmagnetic analog to Fe-based superconductors?

We discovered that under pressure SnO with α-PbO structure, the same structure as in many Fe-based superconductors, e.g., β-FeSe, undergoes a transition to a superconducting state for p?6 GPa with a maximum Tc of 1.4 K at p=9.3 GPa. The pressure dependence of Tc reveals a domelike shape and superconductivity disappears for p?16 GPa. It is further shown from band structure calculations that SnO under pressure exhibits a Fermi surface topology similar to that reported for some Fe-based superconductors and that the nesting between the hole and electron pockets correlates with the change of Tc as a function of pressure.     

An exact nonlinear Alfvén wave solution in a toroidal magnetic field

The propagation of Alfvén waves along a non-uniform toroidal magnetic field in a highly conducting incompressible fluid rotating uniformly is studied. It is shown that there is an exact Alfvén wave solution with large but restricted form.     

Phase boundary of the hexagonal—prism superconducting network in a magnetic field

In this paper, we systematically study the phase boundary T_c(\vec H) of a hexagonal-prism superconducting network in an external magnetic field \vec H of arbitrary magnitude and direction. The result indicates that the phase boundary of the hexagonal-prism superconducting circuit varies more sharply than that of the cubic circuit. The potential applications of the hexagonal-prism superconducting circuit are also discussed.     

Quantum states of neutral atoms bound in the magnetic field of a Kepler-guide

The spectrum and the wave function of neutral atoms in the magnetic field of a Kepler-guide are presented by reducing a two-dimensional stationary Schrdinger equation to a one-dimensional hydrogen atom in Rydberg states. In addition, we set the scale for     

The aγγγ vertex and three-photon axion decay in an external magnetic field

The axion vertex aγγγ, the probability of three-photon axion decay in an external magnetic field, and the cross section of the crossing process aγ→2γ, which CP invariance forbids in vacuum, are calculated for the first time. It is shown that in superstrong magnetic fields B≫F ₀=m ²/|e|=4.41·10¹³ G the probability of three-photon decay is greater than the probability of two-photon decay. The astrophysical aspects of the questions examined are discussed. Zh. éksp. Teor. Fiz. 116, 26–34 (July 1999)