Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Curtright, Thomas L"'
Autor:
Curtright, Thomas L.
Publikováno v:
SIGMA 20 (2024), 096, 4 pages
Non-relativistic quantum mechanical scattering from an inverse square potential in two spatial dimensions leads to a novel representation of the Bernoulli numbers.
Externí odkaz:
http://arxiv.org/abs/2401.00586
Publikováno v:
Int.J.Mod.Phys.D30:2142021,2021
In the holographic picture, the Brout-Englert-Higgs (BEH) mechanism in d-dimensional Yang-Mills theories is conjectured to provide a Higgs-like mechanism for gravity in d+1 dimensions, resulting in massive (or massless) gravitons in IR (or UV) comple
Externí odkaz:
http://arxiv.org/abs/2109.05148
Publikováno v:
Phys. Rev. D 96, 086021 (2017)
The state space of a generic string bit model is spanned by $N\times N$ matrix creation operators acting on a vacuum state. Such creation operators transform in the adjoint representation of the color group $U(N)$ (or $SU(N)$ if the matrices are trac
Externí odkaz:
http://arxiv.org/abs/1708.03342
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
Autor:
Curtright, Thomas L.
Any nonsingular function of spin j matrices always reduces to a matrix polynomial of order 2j. The challenge is to find a convenient form for the coefficients of the matrix polynomial. The theory of biorthogonal systems is a useful framework to meet
Externí odkaz:
http://arxiv.org/abs/1506.04648
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
Elementary features of galileon models are discussed at an introductory level. Following a simple example, a general formalism leading to a hierarchy of field equations and Lagrangians is developed for flat spacetimes. Legendre duality is discussed.
Externí odkaz:
http://arxiv.org/abs/1212.6972
Autor:
Curtright, Thomas L.
A simple trace-coupled Galileon model is shown to admit spherically symmetric static solutions with naked spacetime curvature singularities.
Comment: References and acknowledgements added, and corrections made to Figure 1
Comment: References and acknowledgements added, and corrections made to Figure 1
Externí odkaz:
http://arxiv.org/abs/1208.1205