Physics

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It is shown that the eigenvalue problem of the L operator for the sine-Gordon equation can be put in a supersymmetric form. We comment on the connection between the conserved quantities of the Korteweg-de Vries and sine-Gordon systems. © 1989 The American Physical Society.

(SoNS) School of Natural Sciences

World University root node

Physical Review D

Conservation laws, Korteweg-de Vries and sine-Gordon systems, and the role of supersymmetry

The charge radii of the pseudoscalar mesons +, K+, and K0 are analyzed in an extended vector-dominance framework and the results are compared with those which follow the nonrelativistic quark model and constituent-quark triangle loop approach. Further, estimates of the root-mean-square relative coordinate parameter are obtained which are in conformity with normal theoretical expectations. © 1989 The American Physical Society.

Electromagnetic charge radii of pseudoscalar mesons

Using the ladder operator technique, a construction of the supersymmetric Hamiltonian is proposed. We show that the accidental degeneracies associated with the Coulomb and isotropic oscillator problems may be attributed to the existence of a supersymmetry of the Hamiltonians. © 1989 Plenum Publishing Corporation.

International Journal of Theoretical Physics

Supersymmetry and the ladder operator technique in quantum mechanics: The radial Schrödinger equation

Using infinite-momentum-frame techniques we generalize the Schwinger formula for the pseudoscalar nonets to include the effects of the (1460). By seeking consistency with its current rates we estimate the (1460) mixing angles. We also allow the possibility of nonet symmetry breaking in the couplings. Our results support a glueball interpretation of the with not inconsistent with quarkonium states. © 1988 The American Physical Society.

Glueball candidate (1460) and quarkonium-gluonium mixing

We construct a scenario of supersymmetry in quantum mechanics by imposing a structure on the raising and lowering operators. Possible consequences are worked out in one dimension which includes relating supersymmetry to the infinite deep well problem © 1988 Società Italiana di Fisica.

Il Nuovo Cimento A

A scenario of supersymmetry in quantum mechanics

A ladder-operator technique for generating isospectral Hamiltonians is presented. The most attractive feature of the scheme is that the results are obtained without any specific realization of the ladder operators. The method is applied to the N-dimensional Coulomb and isotropic oscillator problems. Few new results are presented in addition to those obtained using supersymmetric quantum mechanics. © 1988 The American Physical Society.

Physical Review A

Isospectral Hamiltonians for potentials having rotational symmetry in N dimensions

By transforming the radial equation of the isotropic oscillator to the Coulomb form, the authors show that the energy degeneracy of the three-dimensional oscillator may be understood on account of supersymmetry. © 1987, IOP Publishing Ltd.

Journal of Physics A: Mathematical and General

Supersymmetry and the three-dimensional isotropic oscillator problem

A correct procedure for constructing supersymmetry in three dimensions is presented. The degeneracies are found between states of the same l but different n and Z and the previous results on the Coulomb and the three-dimensional isotropic oscillator problems are reestablished. The authors also consider the hydrogen-helium problem and find supersymmetry to hold to a good approximation.

Supersymmetry in atomic physics and the radial problem

The SU(3) flavour structure of ι(1460) is exploited to seek consistency between vector meson dominance and anomalous Ward identities. Our analysis shows that a minimum of 10 to 20% breaking in nonet symmetry is necessary to get an overall fit with the radiative rates of low-lying η and η′. © 1987 Springer-Verlag.

Zeitschrift für Physik C Particles and Fields

Nonet symmetry, anomalous Ward identities and meson-gluonium mixing

The short-time evolution of a class of nonlinear Klein-Gordon systems is studied. For nonzero mass, the short-time behavior of the field variable has an inverse-sine spectrum rather than an exponential one. © 1987 Plenum Publishing Corporation.