40728739
Role of Darboux's theorem in supersymmetric quantum mechanics.
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.
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.
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.
35680472
Identifying tau as a nonleptonic superparticle.
Given a lepton number L=1 for e, ν e , μ, and ν μ , all available data at present are compatible with L=0 for τ and ν τ . A model with such an assignment is shown to be as natural as the conventional one in a supersymmetric extension of the standard model. Processes such as pp (orpp)→τ ± τ ± + two quark jets as well as ep→ττ − + one quark jet+missing energy (p τ ) provide unique signatures of this possibility.
27592689
Role of chiral scalar and pseudoscalar in two-photon production of a superlight gravitino.
The interesting possibility of observing a superlight gravitino in photon-photon collisions has been pointed out recently. A complete analysis is done of that problem taking into full account the contributions from superlight chiral scalar and pseudoscalar hidden-sector particles which couple gravitationally. The order of magnitude of the cross section is the same as that in the earlier work.
31086876
Stringent low-energy mass constraints in no-scale supergravity.
Spectacular mass constraints are shown to exist at low energies in minimal no-scale supergravity theories. The top quark cannot be too light, the lowest-lying Higgs particle cannot be too heavy, and the pseudoscalar Higgs boson must weigh nearly a quarter as much as the gluino.
29048760
Supercollider signatures and correlations of heavy neutrinos.
Forthcoming proton supercolliders can discover a heavy neutrino lying hidden in the 10{sup 2}--10{sup 3} GeV mass range, one that may harbinger a new set of heavy particles. For an unstable neutrino, the optimal search strategy will be to study a final state of charged dileptons and jets without missing {ital p}{sub {ital T}}. Dilepton charge signs {ital or} angular correlations can discriminate between Dirac and Majorana heavy neutrinos.