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Open Quantum Systems Decoherence
Quantum Simulation
Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity
arXiv
Authors: Fabio Bagarello
Year
2011
Paper ID
29102
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
Abstract
We have recently proposed a strategy to produce, starting from a given hamiltonian h1 and a certain operator x for which \[h1,xxdagger\]=0 and xdagger x is invertible, a second hamiltonian h2 with the same eigenvalues as h1 and whose eigenvectors are related to those of h1 by xdagger. Here we extend this procedure to build up a second hamiltonian, whose eigenvalues are different from those of h1, and whose eigenvectors are still related as before. This new procedure is also extended to crypto-hermitian hamiltonians.
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- We have recently proposed a strategy to produce, starting from a given hamiltonian h1 and a certain operator x for which [h1,xx^dagger]=0 and x^dagger x is invertible, a second...
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