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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.157202
Abstract: The dynamics generated by non-Hermitian Hamiltonians are often less intuitive than those of conventional Hermitian systems. Even for models as simple as a complexified harmonic oscillator, the dynamics for generic initial states shows surprising features.…
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Keywords:
hermitian hamiltonians;
non hermitian;
dynamics generated;
generated non ... See more keywords
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Published in 2020 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/79857985
Abstract: In this paper it is proved that, when $Q$ is a quiver that admits some closure, for any algebraically closed field $K$ and any finite dimensional $K$-linear representation $\mathcal{X}$ of $Q$, if ${\rm Ext}^1_{KQ}(\mathcal{X},KQ)=0$ then…
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Keywords:
martin axiom;
projective modules;
non projective;
infinitely generated ... See more keywords