Quantum systems: real spectra and nonhermitian (Hamiltonian) operators.

DOI10.1016/S0034-4877(03)80021-6zbMath1049.81024MaRDI QIDQ595935

A. Simoni, Franco Ventriglia, Giuseppe Marmo

Publication date: 6 August 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS ⋮ Alternative descriptions in quaternionic quantum mechanics ⋮ QUANTUM SYSTEMS AND ALTERNATIVE UNITARY DESCRIPTIONS ⋮ Remarks on alternative Hermitian structures for composite quantum systems

Cites Work

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• RELATED OPERATORS AND EXACT SOLUTIONS OF SCHRÖDINGER EQUATIONS
• The inverse problem in the Hamiltonian formalism: integrability of linear Hamiltonian fields
• Alternative structures and bi-Hamiltonian systems
• QUANTUM BI-HAMILTONIAN SYSTEMS
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• ALTERNATIVE HAMILTONIAN DESCRIPTIONS FOR QUANTUM SYSTEMS AND NON-HERMITIAN OPERATORS WITH REAL SPECTRUM
• The Factorization Method
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.

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