Results 21 to 30 of about 31,156 (175)

Stiefel and Grassmann manifolds in Quantum Chemistry [PDF]

, 2011
We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree-Fock theory and beyond.
Andruchow, Andruchow, Argaez, Beltiţă, Beltiţă, Borwein, Cassam-Chenaï, Chiumiento, Corach, Deimling, Eduardo Chiumiento, Enstedt, Esteban, Fang, Ghoussoub, Gohberg, Harris, Knopp, Krein, Krein, Lax, Lewin, Lieb, Lions, Michael Melgaard, Palais, Raeburn, Rowe, Simon, Upmeier   +29 more
core   +3 more sources

Hankel transforms in generalized Fock spaces

International Journal of Mathematics and Mathematical Sciences, 1994
A classical Fock space consists of functions of the form,ϕ↔(ϕ0,ϕ1,…,ϕq),where ϕ0∈ℂ and ϕq∈Lp(ℝq), q≥1. We will replace the ϕq, q≥1 with test functions having Hankel transforms.
John Schmeelk
doaj   +1 more source

Quasi-isomorphisms of cluster algebras and the combinatorics of webs (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
We provide bijections between the cluster variables (and clusters) in two families of cluster algebras which have received considerable attention. These cluster algebras are the ones associated with certain Grassmannians of k-planes, and those associated
Chris Fraser
doaj   +1 more source

Order-Bounded Difference in Weighted Composition Operators Between Fock Spaces

Mathematics
There are two aims in this paper. The first aim is to characterize the order-bounded weighted composition operators between Fock spaces, and the second is to further characterize the order-bounded difference in weighted composition operators between Fock
Xiao-Feng Peng, Zhi-Jie Jiang
doaj   +1 more source

Taming numerical errors in simulations of continuous variable non-Gaussian state preparation

Scientific Reports, 2022
Numerical simulation of continuous variable quantum state preparation is a necessary tool for optimization of existing quantum information processing protocols.
Jan Provazník, Radim Filip, Petr Marek
doaj   +1 more source

Generalized Fock spaces and the Stirling numbers [PDF]

, 2018
The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D., Alpay D., Biagini F., Blasiak P., Bourbaki N., Daniel Alpay, Erdélyi A., Gelfand I. M., Gelfand I. M., Hall B. C., Karp D., Karp D., Motke Porat, Schneider W. R., Våge G.   +14 more
core   +3 more sources

Theoretical prediction of superatom molecular orbitals (SAMOs) in the ice-like cluster (H2O)10 and its impact in the supramolecular chemistry and function of nanostructured water

Chemical Physics Impact, 2022
Superatom molecular orbitals (SAMOs) are atom-like molecular orbitals that have been observed in the buckminsterfullerene C60 molecule. We studied the ice-like water cluster (H2O)10 that is expected to be ubiquitous in nature in nanoscale ...
Javier Hernandez-Ortega, Ruben Casillas, Neetha Mohan, Suman Sirimulla, Juan C. Noveron   +4 more
doaj   +1 more source

Fock States of Flavor Neutrinos are Unphysical

, 2003
It is shown that it is possible to construct an infinity of Fock spaces of flavor neutrinos depending on arbitrary unphysical mass parameters, in agreement with the theory of Blasone and Vitiello in the version proposed by Fujii, Habe and Yabuki. However,
Altarelli, Beuthe, Bilenky, Bilenky, Bilenky, Bilenky, Blasone, Blasone, Blasone, Blasone, Blasone, C. Giunti, Dolgov, Fisher, Fritzsch, Fujii, Fujii, Giunti, Gonzalez-Garcia, Group, Hannabuss, Ji, King, Masina, McKeown, Pontecorvo, Pontecorvo, Pontecorvo, Shrock, Shrock, Shrock, Valle, Zralek   +32 more
core   +2 more sources

Parafermions, parabosons and representations of so(\infty) and osp(1|\infty)

, 2008
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of
Gel'fand I. M., J. VAN DER JEUGT, Littlewood D. E., Macdonald I. G., N. I. STOILOVA, Volkov D. V., Volkov D. V.   +6 more
core   +1 more source

The Dirac oscillator, generalised parastatistics and colour Lie superalgebras

Nuclear Physics B
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the Z2×Z2-graded Lie superalgebras pso(3|2), pso(3|4) and osp01(1|2)⊕sl10(1|1).
Phillip S. Isaac, Mitchell Ryan
doaj   +1 more source