120290770
Magnetic point vortex and parasupersymmetry
Abstract We develop a formalism for point vortex interaction in parasupersymmetry. It is shown that vortices are compatible with parasupersymmetry and there are zero range interactions in some low angular momentum states.
14129154
A new class of PT-symmetric Hamiltonians with real spectra
Abstract We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-Hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY quantum mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.
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.
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.
119751583
On supersymmetry and random sources
We evaluate the one loop effective potential for the supersymmetric Higgs model in the presence of a gaussian random source and examine supersymmetry breaking at the one loop level.
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.
9102072
Bilarge neutrino mixing from supersymmetry breaking: The Role of high-scale parameters
We show how a bilarge neutrino mixing pattern can arise in a broken supersymmetric theory, in such a way that the difference with quark mixing is explained. Our basic assumption is that this difference is due to nonrenormalizable interactions involving hidden sector fields. Such interactions lend lepton number violating mass terms to both the right-handed neutrino and sneutrino fields. A superpotential containing an array of gauge singlet chiral superfields, together with a combination of seesaw and radiative contributions lead us to a neutrino mass matrix which, for some natural parametric choices, can have the structure needed for bilarge mixing. Allowed ranges of parameters in the gauge singlet sector are delineated, corresponding to each of the cases of normal hierarchy, inverted hierarchy and degenerate neutrinos. PACS indices: 12.60.Jv, 14.60.Lm, 14.60.Pq, 14.60.St Electronic address: biswarup@mri.ernet.in Electronic address: probir@theory.tifr.res.in Electronic address: srikanth@mri.ernet.in
1691094
Electroweak Processes and Precision Tests
Review of the electroweak sector of the minimal standard model, Basic LEP processes at the tree level, 1-loop radiative corrections in the on-shell renormalization scheme, Star scheme and oblique corrections, Introduction to oblique parameters.
121696031
Historical note on the derivation of the strength of neutral-current weak interactions
119202847
THE MAGIC OF FOUR ZERO NEUTRINO YUKAWA TEXTURES
Four is the maximum number of texture zeros allowed in the Yukawa coupling matrix of three massive neutrinos. These completely fix the high scale CP violation needed for leptogenesis in terms of that accessible at laboratory energies. $\mu\tau$ symmetry drastically reduces such allowed textures. Only one form of the light neutrinos mass matrix survives comfortably while another is marginally allowed.
119146278
Pseudo-Hermitian generalized Dirac oscillators
Abstract We study generalized Dirac oscillators with complex interactions in ( 1 + 1 ) dimensions. It is shown that for the choice of interactions considered here, the Dirac Hamiltonians are η -pseudo-Hermitian with respect to certain metric operators η . Exact solutions for the generalized Dirac oscillator for some choices of the interactions have also been obtained. It is also shown that generalized Dirac oscillators can be identified with an anti-Jaynes–Cummings-type model and by spin flipping they can also be identified with a Jaynes–Cummings-type model.