Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Zachos, Cosmas K."'
Publikováno v:
Reports on Mathematical Physics 76 (2015) 401-404
A general group element for the fundamental representation of SU(3) is expressed as a second order polynomial in the hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det
Externí odkaz:
http://arxiv.org/abs/1508.00868
Publikováno v:
SIGMA 10 (2014), 084, 15 pages
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics
Externí odkaz:
http://arxiv.org/abs/1402.3541
Autor:
Curtright, Thomas L, Zachos, Cosmas K
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 145201
Some examples of branched Hamiltonians are explored both classically and in the context of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact cases of switchback potentials, albeit in momentum space, as previously anal
Externí odkaz:
http://arxiv.org/abs/1311.6147
Autor:
Curtright, Thomas L, Zachos, Cosmas K
Publikováno v:
Front. Physics 1 (2013) 15
In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous difference equations --- discretized versions of the differential cornerstones
Externí odkaz:
http://arxiv.org/abs/1304.0429
Autor:
Zachos, Cosmas K.
Publikováno v:
EPL 99 (2012) 11001
The visualization advantages of ternary plots are illustrated for the PMNS neutrino mixing matrix. Unitarity constraints are incorporated automatically, in part, since barycentric plots of this type allow three variables with a fixed sum to be plotte
Externí odkaz:
http://arxiv.org/abs/1205.4772
Publikováno v:
Phys. Rev. Lett. 108, 131601 (2012)
Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monot
Externí odkaz:
http://arxiv.org/abs/1111.2649
Autor:
Curtright, Thomas L, Zachos, Cosmas K
Publikováno v:
Asia Pacific Physics Newsletter, V1, Iss 1, May 2012, pp 37-46
Ever since Werner Heisenberg's 1927 paper on uncertainty, there has been considerable hesitancy in simultaneously considering positions and momenta in quantum contexts, since these are incompatible observables. But this persistent discomfort with add
Externí odkaz:
http://arxiv.org/abs/1104.5269
Publikováno v:
Phys.Rev.D83:065019,2011
Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories, and to gain insight into the interplay between continuous and discrete rescaling. With minimal assumptions, the methods produce con
Externí odkaz:
http://arxiv.org/abs/1010.5174
Publikováno v:
J Phys A43 (2010) 445101
Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be quasi-Hamiltonian systems
Externí odkaz:
http://arxiv.org/abs/1002.0104
Publikováno v:
Phys.Lett.B666:386-390,2008
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations.
Externí odkaz:
http://arxiv.org/abs/0806.3515