It was proved by Glover and Marušič (J. Eur. Math. Soc. 9:775–787, 2007), that cubic Cayley graphs arising from groups G = 〈a, x | a2 = x = (ax)3 = 1, . . .〉 having a (2, s,3)-presentation, that is, from groups generated by an involution a and an element x of order s such that their product ax has order 3, have a Hamiltonian cycle when |G| (and thus also s) is congruent to 2 modulo 4, and have ...

A theoretical model Hamiltonian [J. Chem. Phys. 2013, 138, 064308] for describing vibrational spectra associated with the CH stretch of CH2 groups is extended to molecules containing methyl and methoxy groups. Results are compared to the infrared (IR) spectroscopy of four molecules studied under supersonic expansion cooling in gas phase conditions. The molecules include 1,1-diphenylethane (DPE)...

We propose new unitary space-time constellation designs with high diversity products. Our Hamiltonian and product constellations are based on Slepian’s group codes, and can be used for any number of transmitter antennas M and any data rate R. Our Hamiltonian constellations achieve the theoretical upper bound of diversity product in the case where M is even and the cardinality of the signal cons...

Any quantum system with a non-trivial Hamiltonian is able to simulate any other Hamiltonian evolution provided that a sufficiently large group of unitary control operations is available. We show that there exist finite groups with this property and present a sufficient condition in terms of group characters. We give examples of such groups in dimension 2 and 3. Furthermore, we show that it is p...

The main contribution of this manuscript is a local normal form for Hamiltonian actions Poisson-Lie groups $K$ on symplectic manifold equipped with an $AN$-valued moment map, where $AN$ the dual group $K$. Our proof uses delinearization theorem Alekseev which relates classical action $\mathfrak{k}^*$-valued map to via deformation structures. We obtain our result by proving ``delinearization com...