Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order
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Publication:2382660
DOI10.1016/j.aop.2006.11.009zbMath1122.81054arXivhep-th/0610311OpenAlexW4302420832MaRDI QIDQ2382660
Publication date: 2 October 2007
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0610311
Many-body theory; quantum Hall effect (81V70) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60) Graded Lie (super)algebras (17B70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (5)
Parasupersymmetry of non-linear and isotropic oscillator on constant curvature ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. II: Third order ⋮ ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS ⋮ Existence of different intermediate Hamiltonians in type A \({\mathcal N}\)-fold supersymmetry ⋮ $\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS
Cites Work
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- Dynamical breaking of supersymmetry
- Weak supersymmetry
- Deformed Heisenberg algebra with reflection
- The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
- Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
- Another bunch of superpotentials in terms of a master function
- Valley views: Instantons, large order behaviors, and supersymmetry
- \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics.
- Quantum mechanical symmetries and topological invariants
- Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
- Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential repre\-sentation
- Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials
- A new look at the harmonic oscillator problem in a finite-dimensional Hilbert space
- \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics.
- Fractional supersymmetric quantum mechanics as a set of replicas of ordinary supersymmetric quantum mechanics
- HIGHER ORDER PARASUPERSYMMETRIC QUANTUM MECHANICS
- A NOTE ON PARASUPERSYMMETRY ALGEBRA
- PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
- QUANTUM SUPERSPACE, q-EXTENDED SUPERSYMMETRY AND PARASUPERSYMMETRIC QUANTUM MECHANICS
- A NOTE ON GENON AND PARASTATISTICS
- MORE ON PARASUPERSYMMETRIES OF THE SCHRÖDINGER EQUATION
- PARASUPERSYMMETRIC QUANTUM MECHANICS AND ITS INFINITE ORDER LIMIT
- Master function approach to quantum solvable models on SL(2,c) and SL(2,c)/GL(1,c) manifolds
- SPECTRUM DEGENERACY OF GENERAL (p=2)-PARASUPERSYMMETRIC QUANTUM MECHANICS AND PARASUPERSYMMETRIC TOPOLOGICAL INVARIANTS
- POINCARÉ INVARIANCE AND QUANTUM PARASUPERFIELDS
- Dynamical parasuperalgebras of parasupersymmetric harmonic oscillator, cyclotron motion and Morse Hamiltonians
- -fold supersymmetry in quantum systems with position-dependent mass
- General aspects of -symmetric and -self-adjoint quantum theory in a Krein space
- A note on recent Lie parasuperstructures
- Lie structures in parasupersymmetric quantum mechanics: I. The standard supersymmetrization procedure
- Lie structures in parasupersymmetric quantum mechanics: II. The spin-orbit coupling supersymmetrization procedure
- Hierarchy of the parasupersymmetric Hamiltonians in quantum mechanics
- Parasupersymmetric quantum mechanics of arbitrary order
- Comment on generalized parasupersymmetric quantum mechanics
- Parasupersymmetry in quantum mechanics
- Degeneracy and para-supersymmetry of Dirac Hamiltonian in (2+1)-space–time
- On a hidden dynamical SU(3)-symmetry in parasupersymmetric quantum mechanics
- On quantum deformations of the simplest Lie parasuperalgebra
- COMPLEXIFIED PSUSY AND SSUSY INTERPRETATIONS OF SOME PT-SYMMETRIC HAMILTONIANS POSSESSING TWO SERIES OF REAL ENERGY EIGENVALUES
- FIELD THEORETIC REALIZATIONS FOR CUBIC SUPERSYMMETRY
- Parastatistics, supersymmetry and parasupercoherent states
- ON THE GENERALIZED UNITARY PARASUPERSYMMETRY ALGEBRA OF BECKERS–DEBERGH
- 𝒩-fold supersymmetry in quantum mechanics—analyses of particular models
- All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix
- CUBIC SUPERSYMMETRY AND ABELIAN GAUGE INVARIANCE
- On parasupersymmetry and remarkable Lie structures
- A Generalized Method of Field Quantization
- General forms of a \(N\)-fold supersymmetric family
- \(N\)-fold supersymmetry in quantum mechanics: general formalism
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