Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Steven Glenn"'
Autor:
Xabier M. Aretxabaleta, Marina Gonchenko, Nathan L. Harshman, Steven Glenn Jackson, Maxim Olshanii, Grigory E. Astrakharchik
Publikováno v:
Mathematics, Vol 8, Iss 4, p 509 (2020)
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number π . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of π in a base determined by the
Externí odkaz:
https://doaj.org/article/5f49774ea0b648d4ae509bac80e9b4d3
Autor:
N. L. Harshman, Maxim Olshanii, A. S. Dehkharghani, A. G. Volosniev, Steven Glenn Jackson, N. T. Zinner
Publikováno v:
Physical Review X, Vol 7, Iss 4, p 041001 (2017)
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses. For any number of particles, there exist two families of unequal mass particles that hav
Externí odkaz:
https://doaj.org/article/4ecc8b1c5c5f4fe88a25cce941640be2
Let $G_{\mathbb R}$ be the set of real points of a complex linear reductive group and $\hat G_\lambda$ its classes of irreducible admissible representations with infinitesimal integral regular character $\lambda$. In this case each cell of representa
Externí odkaz:
http://arxiv.org/abs/1810.05556
Autor:
Harshman, N. L., Olshanii, Maxim, Dehkharghani, A. S., Volosniev, A. G., Jackson, Steven Glenn, Zinner, N. T.
Publikováno v:
Phys. Rev. X 7, 041001 (2017)
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses. For any number of particles, there exist two families of unequal mass particles that hav
Externí odkaz:
http://arxiv.org/abs/1704.01433
Publikováno v:
In Advances in Applied Mathematics September 2021 130
Autor:
Jackson, Steven Glenn, Lachowska, Anna
This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for u_q(sl_3), given
Externí odkaz:
http://arxiv.org/abs/1611.08872
Publikováno v:
Phys. Rev. A 97, 013630 (2018)
A quantum Galilean cannon is a 1D sequence of $N$ hard-core particles with special mass ratios, and a hard wall; conservation laws due to the reflection group $A_{N}$ prevent both classical stochastization and quantum diffraction. It is realizable th
Externí odkaz:
http://arxiv.org/abs/1610.01060
We study the polyhedral geometry of the hyperplanes orthogonal to the weights of the first and the second fundamental representations of $sl_n$ inside the dual fundamental Weyl chamber. We obtain generating functions that enumerate the flats and the
Externí odkaz:
http://arxiv.org/abs/1601.05070
We study the central hyperplane arrangement whose hyperplanes are the vanishing loci of the weights of the first and the second fundamental representations of $\mathfrak{gl}_n$ restricted to the dual fundamental Weyl chamber. We obtain generating fun
Externí odkaz:
http://arxiv.org/abs/1508.03038
Publikováno v:
In Advances in Applied Mathematics August 2020 119