Add to ORKGMotivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we consider the notions of similarity and quasi-similarity between operators and explore to what extent they preserve spectral properties. Then we study quasi-Hermitian operators, bounded or not, that is, operators that are quasisimilar to their adjoint and we discuss their application in pseudo-Hermitian quantum mechanics. Finally, we extend the analysis to operators in a partial inner product space (PIP-space), in particular the scale of Hilbert spaces generated by a single unbounded metric operator
For a weakly pseudo-Hermitian linear operator, we give a spectral condition that ensures its pseudo-...
We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operat...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metri...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric...
Pseudo-Hermitian quantum mechanics (QM) is a recent, unconventional, approach to QM, based on the us...
Pseudo-Hermitian quantum mechanics (QM) is a recent, unconventional, approach to QM, based on the us...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structur...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonia...
I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonia...
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated ...
For a weakly pseudo-Hermitian linear operator, we give a spectral condition that ensures its pseudo-...
We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operat...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metri...
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric...
Pseudo-Hermitian quantum mechanics (QM) is a recent, unconventional, approach to QM, based on the us...
Pseudo-Hermitian quantum mechanics (QM) is a recent, unconventional, approach to QM, based on the us...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structur...
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure...
I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonia...
I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonia...
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated ...
For a weakly pseudo-Hermitian linear operator, we give a spectral condition that ensures its pseudo-...
We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operat...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...