Jeffrey M. Aristoff, Tadd T. Truscott, Alexandra H. Techet, and John W. M. Bush Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA Naval Undersea Warfare Center, Newport, Rhode Island 02841, USA Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA Department of Mathematics, Massac...

Integrable discrete versions of aane spheres are constructed. It is shown that the underlying discrete Gauu-Codazzi equations reduce to an integrable discrete Tzitzeica system. A BB acklund transformation generating discrete aane spheres is obtained in a purely algebraic manner and an interpretation of the Gauu equations for discrete aane spheres in terms of loop groups is recorded.

We prove the existence of a universal gap for minimum time controllability finite dimensional quantum systems, except some basic representations spin groups. This is equivalent to in diameter orbit spaces corresponding compact connected Lie group unitary actions on Hermitian spheres.

Although the quantum efficiencies of quantum dots (QDs) are approaching unity through advances in the synthesis of QD materials, their luminescence efficiencies after mixing with resin and thermal curing for white light-emitting diodes (LEDs) are seriously lowered because of aggregation and oxidation of QDs and poor adhesion of QDs to the resin. To overcome these problems, QD-layer-encapsulated...

the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

We report on a new force that acts on cavities (literally empty regions of space) when they are immersed in a background of non-interacting fermionic matter fields. The interaction follows from the obstructions to the (quantum mechanical) motions of the fermions caused by the presence of bubbles or other (heavy) particles in the Fermi sea, as, for example, nuclei in the neutron sea in the inner...

quantum organizations are referred where stakeholders know how to access the infinite potential of the quantum field. viewing healthcare organizations from perspective of quantum theory suggest new approaches into management techniques for effective and efficient delivery of healthcare services. this research is aimed to determine the quantum skills, quantum leadership characteristics and funct...