Perfectly invisible PT $$ \mathcal{P}\mathcal{T} $$ -symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry [PDF]
Journal of High Energy Physics, 2017 We investigate a special class of the PT $$ \mathcal{P}\mathcal{T} $$ -symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states. The family includes the PT $
Juan Mateos Guilarte +1 more
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Fermionic coordinates and supersymmetry in quantum mechanics [PDF]
Nuclear Physics B, 1982 Abstract We describe the quantum mechanics of particles with fermionic degrees of freedom, both in the Schrodinger wave function and Feynman path integral formalism. In particular we derive an exact expression for fermionic path integrals in (0 + 1) dimensions. Under suitable circumstances the theories we consider can exhibit supersymmetry.
P. Salomonson, J.W. van Holten
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Bosonized supersymmetric quantum mechanics and supersymmetry of parabosons (parafermions) [PDF]
, 2000 We review the construction of minimally bosonized supersymmetric quantum mechanics and its relation to hidden supersymmetries in pure parabosonic (parafermionic) systems.
Mikhail S. Plyushchay
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Quantum Mechanics in Grassmann Space, Supersymmetry and Gravity [PDF]
, 1994 A particle which lives in a d-dimensional ordinary and a d-dimensional Grassmann space manifests itself in an ordinary four-dimensional subspace as a spinor, a scalar or a vector with charges. Operators of the Lorentz transformations and translations in both spaces form the super- Poincar\' e algebra.
Norma Mankoč Borštnik
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Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential representation [PDF]
Nuclear Physics B, 2003 28 pages, Latex, minor improvements and removed ...
A. A. Andrianov, А. В. Соколов
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N=2 double graded supersymmetric quantum mechanics via dimensional reduction [PDF]
AIMS MathematicsWe presented a novel $ \mathcal{N} = 2 $ $ \mathbb{Z}_2^2 $-graded supersymmetric quantum mechanics ($ {\mathbb{Z}_2^2} $-SQM) which has different features from those introduced so far.
Naruhiko Aizawa, Ren Ito, Toshiya Tanaka
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Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics [PDF]
, 2009 When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials
A. A. Andrianov
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Supersymmetry shielding the scaling symmetry of conformal quantum mechanics [PDF]
Physical Review A, 2020 Renormalization of the inverse square potential usually breaks its classical conformal invariance. In a strongly attractive potential, the scaling symmetry is broken to a discrete subgroup while, in a strongly repulsive potential, it is preserved at ...
J. V. S. Scursulim +3 more
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Quantum Mechanics à la Langevin and Supersymmetry [PDF]
Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013), 2014 We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommuting fields. The partition function is not invariant under ${\mathcal N}=1$ SUSY, but can be obtained from a, manifestly, supersymmetric expression, upon fixing a local ...
Stam Nicolis
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Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians [PDF]
Journal of Mathematical Sciences, 1998 See the review in Zbl 0888.58078.
A. A. Andrianov +2 more
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