Tag F. Bagarello

Entries 2 Total

Some invariant biorthogonal sets with an application to coherent states

Feb 6, ’14 8:50 AM

F. Bagarello, S. Triolo

We show how to construct, out of a certain basis invariant under the action of one or more unitary operators, a second biorthogonal set with similar properties. In particular, we discuss conditions for this new set to be also a basis of the Hilbert space, and we apply the procedure to coherent states. We conclude the paper considering a simple application of our construction to pseudo-hermitian quantum mechanics.

http://arxiv.org/abs/1402.0425
Mathematical Physics (math-ph)

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\(\cal D\) pseudo-bosons in quantum models

Oct 2, ’13 5:08 PM

F. Bagarello, M. Lattuca

We show how some recent models of PT-quantum mechanics perfectly fit into the settings of \(\cal D\) pseudo-bosons, as introduced by one of us. Among the others, we also consider a model of non-commutative quantum mechanics, and we show that this model too can be described in terms of \(\cal D\) pseudo-bosons.

http://arxiv.org/abs/1310.0359
Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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