Results 31 to 40 of about 230,209 (162)

Quantum Theory and Galois Fields [PDF]

open access: yes, 2006
We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum ...
Berestetsky V. B.   +10 more
core   +1 more source

Minimal models of quantum homotopy Lie algebras via the BV-formalism [PDF]

open access: yesJournal of Mathematics and Physics, 2017
Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral.
Christopher Braun, J. Maunder
semanticscholar   +1 more source

Equivalence of the Klein-Gordon random field and the complex Klein-Gordon quantum field

open access: yes, 2009
The difference between a Klein-Gordon random field and the complex Klein-Gordon quantum field is characterized, explicitly comparing the roles played by negative frequency modes of test functions in creation and annihilation operator presentations of the
Morgan, Peter
core   +1 more source

Lectures on the Mathematics of Quantum Mechanics I

open access: yes, 2015
Elements of the history of Quantum Mechanics I.- Elements of the history of Quantum Mechanics II.- Axioms, states, observables, measurement, difficulties.- Entanglement, decoherence, Bell's inequalities, alternative theories.- Automorphisms Quantum ...
G. Dell'Antonio
semanticscholar   +1 more source

Quantum Holonomies from Spectral Networks and Framed BPS States [PDF]

open access: yes, 2016
We propose a method for determining the spins of BPS states supported on line defects in 4d $${\mathcal{N}=2}$$N=2 theories of class S. Via the 2d–4d correspondence, this translates to the construction of quantum holonomies on a punctured Riemann surface
Maxime Gabella
semanticscholar   +1 more source

Fixed rings of quantum generalized Weyl algebras [PDF]

open access: yesCommunications in Algebra, 2019
Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms.
Jason Gaddis, P. Ho
semanticscholar   +1 more source

The Eight Dimensional Quantum Hall Effect and the Octonions

open access: yes, 2003
We construct a generalization of the quantum Hall effect where particles move in an eight dimensional space under an SO(8) gauge field. The underlying mathematics of this particle liquid is that of the last normed division algebra, the octonions.
B. Grossman   +5 more
core   +1 more source

The center of small quantum groups II: singular blocks [PDF]

open access: yesProceedings of the London Mathematical Society, 2017
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum groups, Contemporary Mathematics 433 (American Mathematical Society, Providence, RI, 2007) 89–101] that describes the center of the principal block of a small
A. Lachowska, You Qi
semanticscholar   +1 more source

Hochschild cohomology of group extensions of quantum symmetric algebras [PDF]

open access: yes, 2010
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this
Communicated Martin Lorenz   +3 more
core   +3 more sources

Contractions, deformations and curvature

open access: yes, 2007
The role of curvature in relation with Lie algebra contractions of the pseudo-ortogonal algebras so(p,q) is fully described by considering some associated symmetrical homogeneous spaces of constant curvature within a Cayley-Klein framework.
A. Ballesteros   +44 more
core   +1 more source

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