119320775
Bound state in continuum-like solutions in one-dimensional heterostructures
Abstract We examine the one-dimensional Dirac equation with modulated or position-dependent velocity. In particular, it is shown that using suitable velocity profiles it is possible to create bound state in continuum (BIC)-like as well as discrete energy bound state solutions.
8406718
Motion of a spin-½ particle in shape invariant scalar and magnetic fields
We study the motion of a spin-½ particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics. We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.
121137215
Novel perturbation expansion for the Langevin equation
We discuss the randomly driven systemdx/dt= -W(x) +f(t), wheref(t) is a Gaussian random function or stirring force with〈f(t)f(t′)〉=2δ(t−t′), andW(x) is of the formgx1+2δ. The parameterδ is a measure of the nonlinearity of the equation. We show how to obtain the correlation functions〈x(t)f(t′)〉···x(t(n))〉f as a power series inδ. We obtain three terms in theδ expansion and show how to use Padé approximants to analytically continue the answer in the variableδ. By using scaling relations, we show how to get a uniform approximation to the equal-time correlation functions valid for allg andδ.
120571457
Supersymmetric anyon quantum mechanics
Abstract We develop a framework for anyons within supersymmetric quantum mechanics. We prove that supersymmetry can be realized spectrally but necessarily requires a contact interaction which modifies in a specific way the usual regularity condition of the wavefunction at the origin.
119312840
'Stringy' Coherent States Inspired By Generalized Uncertainty Principle
Abstract Coherent States with Fractional Revival property, that explicitly satisfy the Generalized Uncertainty Principle (GUP), have been constructed in the context of Generalized Harmonic Oscillator. The existence of such states is essential in motivating the GUP based phenomenological results present in the literature which otherwise would be of purely academic interest. The effective phase space is Non-Canonical (or Non-Commutative in popular terminology). Our results have a smooth commutative limit, equivalent to Heisenberg Uncertainty Principle. The Fractional Revival time analysis yields an independent bound on the GUP parameter. Using this and similar bounds obtained here, we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissonian. Correspondence Principle is deformed in an interesting way. Our computational scheme is very simple as it requires only first order corrected energy values and undeformed basis states.
122355855
Comment on the ''Effect of a strong magnetic field and high temperature on broken gauge theories''
In a recent paper Chakrabarti has examined the effects of a strong magnetic field and high temperature on spontaneously broken gauge theories. We point out the invalidity of the approximation he has used to evaluate the one-loop effective potential. Using a rigorous and improved method, we obtain a result different from Chakrabarti's result. Further using this method we extend the results of the aforementioned paper by including fermions in the theory.
120081068
TOP QUARK AND LIGHT HIGGS SCALAR MASS BOUNDS IN NO-SCALE SUPERGRAVITY
121584805
Current-commutators and high energy hadron production in e+e− annihilation
Abstract We consider the asymptotic behavior of the structure-functions for the process e + e − → H + everything (where H is a detectable hadron) in terms of commutators involving the electromagnetic current.
121583641
Spin-isospin mixing without spontaneous symmetry breakdown
The phenomenon advertised in the title is demonstrated in an exactly symmetricSU(2) classical gauge theory with a scalar isodoublet of matter fields. Possible implications for chromodynamics are discussed briefly.
122119900
Unitarity limit on the gaugino-gravitino mass ratio
Abstract The imposition of tree-level unitarity at all energies upto the Planck scale on the amplitude for the scattering of two gauge bosons into two gravitinos is shown to put an upper bound on the ratio between gaugino and gravitino masses. The absolute masses of the lightest gauge singlet scalar and pseudoscalar bosons are also bounded from above.
15317748
Radiative neutrino mass matrix for three active plus one sterile species
A simple unifying mass matrix is presented for the three active and one sterile neutrinose, �µ, ��, ands, using an extension of the radiative mechanism proposed some time ago by Zee. The total neutrino-oscillation data are explained by the scheme �e ↔ �s (solar), �µ ↔ �� (atmospheric) ande ↔ �µ (LSND). We obtain the inter- esting approximate relationship (�m 2 )atm ≃ 2((�m 2 )solar(�m 2 )LSND) 1/2 which is well