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19942008
most citedWeak pseudo-Hermiticity and antilinear commutant

96 citations · 271 across the 11 of their papers we have counts for

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7 papers · 1 filter

quant-ph2008★ 16 cited

Alternative descriptions and bipartite compound quantum systems

G. Scolarici, L. Solombrino

We analyze some features of alternative Hermitian and quasi-Hermitian quantum descriptions of simple and bipartite compound systems. We show that alternative descriptions of two in…

quant-ph2007★ 1 cited

Quasistationary quaternionic Hamiltonians and complex stochastic maps

G. Scolarici, L. Solombrino

We show that the complex projections of time-dependent -quasianti-Hermitian quaternionic Hamiltonian dynamics are complex stochastic dynamics in the space of complex quasi-Hermi…

quant-ph2004★ 12 cited

Alternative Descriptions in Quaternionic Quantum Mechanics

A. Blasi, G. Scolarici, L. Solombrino

We characterize the quasianti-Hermitian quaternionic operators in QQM by means of their spectra; moreover, we state a necessary and sufficient condition for a set of quasianti-Herm…

quant-ph2003★ 18 cited

Pseudo-Hermitian Hamiltonians, indefinite inner product spaces and their symmetries

A. Blasi, G. Scolarici, L. Solombrino

We extend the definition of generalized parity , charge-conjugation and time-reversal operators to nondiagonalizable pseudo-Hermitian Hamiltonians, and we use these gene…

quant-ph2002★ 45 cited

On the pseudo-Hermitian nondiagonalizable Hamiltonians

G. Scolarici, L. Solombrino

We consider a class of (possibly nondiagonalizable) pseudo-Hermitian operators with discrete spectrum, showing that in no case (unless they are diagonalizable and have a real spect…

quant-ph2002★ 23 cited

Pseudohermitian Hamiltonians, time-reversal invariance and Kramers degeneracy

G. Scolarici, L. Solombrino

A necessary and sufficient condition in order that a (diagonalizable) pseudohermitian operator admits an antilinear symmetry T such that T^{2}=-1 is proven. This result can be used…

quant-ph2002★ 96 cited

Weak pseudo-Hermiticity and antilinear commutant

L. Solombrino

We inquire into some properties of diagonalizable pseudo-Hermitian operators, showing that their definition can be relaxed and that the pseudo-Hermiticity property is strictly conn…