Results 101 to 110 of about 6,376 (252)
Differential representations of dynamical oscillator symmetries in discrete Hilbert space
As a very important example for dynamical symmetries in the context of q-generalized quantum mechanics the algebra aa†−q−2a†a=1 is investigated.
Andreas Ruffing
doaj +1 more source
Bipolar Fuzzy Hilbert Algebras
The notions of bipolar fuzzy subalgebras and bipolar fuzzy ideals of Hilbert algebras are introduced and studied in this work.There are given relationships between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal.The characterizations of a bipolar fuzzy ideal are described, as well as a requirement for a bipolar fuzzy subalgebra to be a bipolar ...
Iampan, Aiyared +2 more
openaire +2 more sources
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
A way of computing the Hilbert series
Let S = K[x1, x2, . . . , xn] be a standard graded K-algebra for any field K. Without using any heavy tools of commutative algebra we compute the Hilbert series of graded S-module S/I, where I is a monomial ...
Haider, A.
core +1 more source
On the Linking Algebra of Hilbert Modules and Morita Equivalence of Locally C*-Algebras [PDF]
In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C*-algebra and we extend in the context of locally C*-algebras a result of Brown, Green and Rieffel [Pacific J., 1977] which states that two C*-algebras are ...
Maria Joita
doaj
On the Lang–Trotter conjecture for Siegel modular forms
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
A duality between hilbert modules and fields of hilbert spaces [PDF]
The category of Hilbert modules with abelian C*-algebra of scalars and the category of fields of Hilbert spaces over compact Hausdorff spaces are discussed and a duality between them is ...
Takahashi, Alfonso
core
Geometric Algebras and Fermion Quantum Field Theory
Corresponding to a finite dimensional Hilbert space $H$ with $\dim H=n$, we define a geometric algebra $\mathcal{G}(H)$ with $\dim\left[\mathcal{G}(H)\right]=2^n$. The algebra $\mathcal{G}(H)$ is a Hilbert space that contains $H$ as a subspace.
Stan Gudder
doaj +1 more source
Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley +1 more source
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core

