Results 31 to 40 of about 74,402 (284)

Mixing quantum and classical mechanics and uniqueness of Planck's constant [PDF]

, 2003
Observables of quantum or classical mechanics form algebras called quantum or classical Hamilton algebras respectively (Grgin E and Petersen A (1974) {\it J Math Phys} {\bf 15} 764\cite{grginpetersen}, Sahoo D (1977) {\it Pramana} {\bf 8} 545\cite{sahoo})
Aleksandrov I V, Anderson A, Anderson A, Battaglia F, Belavkin V P, Belavkin V P, Belavkin V P, Belavkin V P, Belavkin V P, Bohr N, Bohr N, Boucher W, Caro J, Debendranath Sahoo, Diosi L, Diosi L, Diosi L, Diosi L, Diosi L, Diosi L Halliwell J J, Dirac P A M, Emch G G, Fischback E, Gautam S R, Greub W, Grgin E, Hay O, Prezhdo O V, Sahoo D, Sahoo D, Salcedo L L, Schafer R D, Sherry T N, Sherry T N, Sudarshan E C G, von Neumann J, Wichmann E H   +36 more
core   +2 more sources

Duan's fixed point theorem: Proof and generalization

Fixed Point Theory and Applications, 2006
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and pk:X→X the kth power map. Duan proved that pkf:X→X has a fixed point if k≥2. We give a new, short and elementary proof of this.
Martin Arkowitz
doaj   +4 more sources

Perfect hypercomplex algebras: Semi-tensor product approach

Mathematical Modelling and Control, 2021
The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebras (PHAs) is investigated. Necessary and sufficient conditions for an algebra to be a PHA via semi-tensor product (STP) of matrices are reviewed.
Daizhan Cheng, Zhengping Ji , Jun-e Feng, Shihua Fu, Jianli Zhao   +4 more
doaj   +1 more source

An Introduction to Predictive Processing Models of Perception and Decision‐Making

Topics in Cognitive Science, EarlyView., 2023
Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley   +1 more source

Product States of Infinite Tensor Product of JC-algebras

Axioms
The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras.
Fatmah B. Jamjoom, Fadwa M. Algamdei
doaj   +1 more source

Galilean contractions of W-algebras

Nuclear Physics B, 2017
Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
doaj   +1 more source

The tensor product of m-partition algebras as a centralizer algebra of

Mathematics Open
In this paper, we concentrate on the generalized Jones result in Kennedy and Jaish (2021) which says that [Formula: see text], the tensor product of m-partition algebras is a centralizer algebra of the action of the direct product of symmetric groups ...
Amani M. Alfadhli
doaj   +1 more source

Tensor Products of Polynomial Identity Algebras [PDF]

Transactions of the American Mathematical Society, 1971
We investigate matrix algebras and tensor products of associative algebras over a commutative ring R with identity, such that the algebra satisfies a polynomial identity with coefficients in R. We call A a P. I. algebra over R if there exists a positive integer n and a polynomial f in n noncommuting variables with coefficients in R, not annihilating A,
openaire   +3 more sources

The q-Onsager algebra and its alternating central extension

Nuclear Physics B, 2022
The q-Onsager algebra Oq has a presentation involving two generators W0, W1 and two relations, called the q-Dolan/Grady relations. The alternating central extension Oq has a presentation involving the alternating generators {W−k}k=0∞, {Wk+1}k=0∞, {Gk+1}k=
Paul Terwilliger
doaj   +1 more source

Tensor products of homotopy Gerstenhaber algebras

, 2010
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor products of "level 3 Hirsch algebras" and also to the Mayer ...
Franz, Matthias
core   +1 more source