119942524
Remarks on the finite temperature effect in supersymmetric quantum mechanics
Using the thermofield dynamics formalism the authors study the effect of temperature on supersymmetry within the context of supersymmetric quantum mechanics. The model considered involves an interaction not of polynomial type and it is shown that the finite-temperature effect causes spontaneous breaking of supersymmetry.
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.
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.
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.
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.
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.
119355965
Quark-lepton complementarity with quasidegenerate Majorana neutrinos
A basis independent formulation of quark-lepton complementarity is implemented at a high scale for quasidegenerate Majorana neutrinos. It is shown that even with the renormalization group evolution in the minimal supersymmetric standard model, the scenario can be consistent with the data provided a nontrivial role is played by the Majorana phases. Correlated constraints are found on these phases and the neutrino mass scale using the current data. We also indicate how future accurate measurements of the mixing angles can serve as tests of this scenario and restrict the values of the Majorana phases.
15621923
Neutrino symmetries from high to low scales
Proposed symmetry relations, e.g., quark-lepton complementarity (QLC) or tribimaximal mixing (TBM), need to be imposed at a high scale and {approx}10{sup 12} GeV characterising the large masses of right-handed neutrinos required to implement the seesaw mechanism. RG evolution down to the laboratory scale {lambda}{approx}10{sup 3} GeV, generically prone to spoil these relations and their predicted neutrino mixing patterns, can be made to preserve them by appropriately constraining the Majorana phases {alpha}{sub 2,3}. This is explicitly demonstrated in the MSSM for two versions of QLC and two versions of TBM. A preference for {alpha}{sub 2}{approx_equal}{pi} (i.e. m{sub 1}{approx_equal}-m{sub 2}) emerges in each case. Discrimination among the four cases is shown to be possible by future measurements of {theta}{sub 13}.
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.
123923259
Parton/light-cone ideas and their confrontation with the latest lepton-- hadron data
121174007
PARTON MODEL AND INELASTIC PROCESSES WITH TWO PHOTONS.
It is proposed that highly inelastic hadronic reactions involving two photons (Compton scattering, photoproduction of low-mass $\ensuremath{\mu}$ pairs, hadron-hadron $\ensuremath{\gamma}$-pair production, etc.) be studied to distinguish between two approaches to the parton model: the direct impulse approximation of Bjorken and Paschos, and the field-theoretic method of Drell, Levy, and Yan. Such a distinction may be possible since a field-theoretic justification of the free-parton approximation in such processes cannot be given except in a limited kinematic region.