${\mathcal{CPT}}$-CONSERVING HAMILTONIANS AND THEIR NONLINEAR SUPERSYMMETRIZATION USING DIFFERENTIAL CHARGE-OPERATORS ${\mathcal C}$

DOI10.1142/S0217751X05022901zbMath1091.81023arXivhep-th/0412211OpenAlexW3125921130MaRDI QIDQ5468912

Hendrik B. Geyer, Francesco Cannata, Miloslav Znojil, Emanuela Caliceti, Abhijit Banerjee, Christiane Quesne, Bijan K. Bagchi

Publication date: 3 May 2006

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

Full work available at URL: https://arxiv.org/abs/hep-th/0412211

zbMATH Keywords

intertwining relationssupersymmetric quantum mechanics\(\mathcal{CPT}\)-symmetric quantum mechanics\(\mathcal{PT}\)-asymmetric potentials\(\mathcal{PT}\)-symmetric Hamiltoniansnonlinear SUSY algebra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

On a few new quantization recipes using \(\mathcal{PT}\)-symmetry ⋮ $\mathcal {CPT}$ CPT -conserved effective mass Hamiltonians through first and higher order charge operator $\mathcal {C}$C in a supersymmetric framework ⋮ Quantum mechanics using two auxiliary inner products ⋮ Determination of the domain of the admissible matrix elements in the four-dimensional-symmetric anharmonic model

Cites Work

• Dilation analyticity in constant electric field I. The two body problem
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Schrödinger operators with complex potential but real spectrum
• Construction of \(\mathcal {PT}\)-asymmetric non-hermitian Hamiltonians with CPT symmetry
• Complex Extension of Quantum Mechanics
• Equivalence of unstable anharmonic oscillators and double wells
• COMPLEXIFIED PSUSY AND SSUSY INTERPRETATIONS OF SOME PT-SYMMETRIC HAMILTONIANS POSSESSING TWO SERIES OF REAL ENERGY EIGENVALUES
• Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
• Nonlinear supersymmetry for spectral design in quantum mechanics
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Energy band structure due to a complex, periodic, PT-invariant potential

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