Results 41 to 50 of about 685 (210)
Nucleon-Nucleon Potentials and Computation of Scattering Phase Shifts
By judicious exploitation of supersymmetry formalism of quantum mechanics higher partial wave nucleon-nucleon potentials are generated from its ground state interactions. The nuclear Hulthen potential and the corresponding ground state wave function with
Jhasaketan Bhoi, Ujjwal Laha
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Fractional supersymmetry and quantum mechanics
We present a set of quantum-mechanical Hamiltonians which can be written as the $F^{\,\rm th}$ power of a conserved charge: $H=Q^F$ with $[H,Q]=0$ and $F=2,3,...\, .$ This new construction, which we call {\it fractional}\/ supersymmetric quantum mechanics, is realized in terms of \pg\ variables satisfying $\t^F=0$.
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Dimensional Enhancement via Supersymmetry
We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension.
M. G. Faux, K. M. Iga, G. D. Landweber
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Group Structural Realism [PDF]
We present a precise form of structural realism, called 'group structural realism,' which identifies 'structure' in quantum theory with symmetry groups.
Roberts, Bryan W., Bryan W. Roberts
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ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Weak supersymmetry and superconformal indices
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivative deformations of the standard supersymmetric models discussed earlier ...
Vyacheslav P. Spiridonov
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Supersymmetry breaking in noncommutative quantum mechanics [PDF]
Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutative supersymmetry is partially broken and only half of the number of supercharges are conserved.
Geloun, J Ben, Scholtz, F G
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ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
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Supersymmetric quantum mechanics on the lattice: I. Loop formulation
Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions
David Baumgartner, Urs Wenger
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Solitons in lattice field theories via tight-binding supersymmetry
Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
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