Three-Hilbert-space formulation of quantum mechanics.
Znojil, Miloslav (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Displaying similar documents to “Faster than Hermitian time evolution.”
Three-Hilbert-space formulation of quantum mechanics.
Non-Hermitian quantum systems and time-optimal quantum evolution.
Nesterov, Alexander I. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Comment on ”Non-Hermitian quantum mechanics with minimal length uncertainty”.
Bagchi, Bijan, Fring, Andreas (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Properties of non-hermitian quantum field theories
Carl M. Bender (2003)
Annales de l’institut Fourier
Similarity:
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties....
Conservation of pseudo-norm in symmetric quantum mechanics
Znojil, Miloslav
Similarity:
On the role of the normalization factors and of the pseudo-metric in crypto-Hermitian quantum models.
Znojil, Miloslav (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Supersymmetric extension of non-Hermitian Hamiltonian and supercoherent states.
Cherbal, Omar, Drir, Mahrez, Maamache, Mustapha, Trifonov, Dimitar A. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Hamiltonian systems inspired by the Schrödinger equation.
Kovalchuk, Vasyl, Slawianowski, Jan Jerzy (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Supersymmetry and Ghosts in Quantum Mechanics
Robert, Didier (2008)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: 81Q60, 35Q40. A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯]...
Re-establishing supersymmetry between harmonic oscillators in dimensions
Znojil, Miloslav
Similarity: