COMPLEXIFIED PSUSY AND SSUSY INTERPRETATIONS OF SOME PT-SYMMETRIC HAMILTONIANS POSSESSING TWO SERIES OF REAL ENERGY EIGENVALUES

DOI10.1142/S0217751X02005748zbMath1022.81016arXivquant-ph/0106021OpenAlexW3102193399MaRDI QIDQ4330680

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Publication date: 28 October 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0106021

zbMATH Keywords

pseudo-Hermiticitycomplexified potentials of Scarf, Poeschl-Teller and spiked harmonic oscillatororder-two parasupersymmetryPT symmetric models in regime with real spectrasecond-derivative supersymmetrytwo subspectra of a given quasi-parity

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60)

Related Items (16)

Isospectral partners of a complex PT-invariant potential ⋮ \({\mathcal {PT}}\) symmetry in Natanzon-class potentials ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential ⋮ Comment on `Supersymmetry, PT-symmetry and spectral bifurcation' ⋮ Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry ⋮ $\mathcal {CPT}$ CPT -conserved effective mass Hamiltonians through first and higher order charge operator $\mathcal {C}$C in a supersymmetric framework ⋮ Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials ⋮ Pseudo-supersymmetry and third order intertwining operator ⋮ ℤ<sub>3</sub>-GRADED SYMMETRIES IN QUANTUM MECHANICS ⋮ ${\mathcal{CPT}}$-CONSERVING HAMILTONIANS AND THEIR NONLINEAR SUPERSYMMETRIZATION USING DIFFERENTIAL CHARGE-OPERATORS ${\mathcal C}$ ⋮ ${\mathcal{PT}}$-SYMMETRIC SUPERSYMMETRY IN A SOLVABLE SHORT-RANGE MODEL ⋮ A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework ⋮ Complexified Pöschl-Teller II potential model ⋮ Second order SUSY transformations with `complex energies' ⋮ Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

Cites Work

• Dynamical breaking of supersymmetry
• PT-symmetric sextic potentials
• \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
• Polynomial supersymmetry and dynamical symmetries in quantum mechanics
• \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
• NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS
• CONTRACTION OF HIGHER ORDER DERIVATIVE SUSY ALGEBRAS IN QUANTUM MECHANICS WITH LARGE ENERGY GAP
• SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
• Model for Nuclear Reactions with Neutrons
• A new class of PT-symmetric Hamiltonians with real spectra

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