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A hierarchy of Hamilton operators and entanglement

100%

Steeb W.-H., Hardy Y.

Open Physics

2009

vol. 7

issue 4

854-859

We consider a hierarchy of Hamilton operators Ĥ N in finite dimensional Hilbert spaces $$ \mathbb{C}^{2^N } $$. We show that the eigenstates of Ĥ N are fully entangled for N even. We also calculate the unitary operator U N(t) = exp(-Ĥ N t/ħ) for the time evolution and show that unentangled states can be transformed into entangled states using this operator. We also investigate energy level crossing for this hierarchy of Hamilton operators.

Modal analysis of laminated “CAS” and “CUS” box-beams

71%

Gawryluk J., Bocheński M., Teter A., Gawryluk J., Bocheński M., Teter A.

Archive of Mechanical Engineering

2017

vol. 64

issue 4

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A hierarchy of Hamilton operators and entanglement

Modal analysis of laminated “CAS” and “CUS” box-beams