Results 41 to 50 of about 893,091 (234)
Coherent States on Hilbert Modules
, 2010 We generalize the concept of coherent states, traditionally defined as special families of vectors on Hilbert spaces, to Hilbert modules. We show that Hilbert modules over $C^*$-algebras are the natural settings for a generalization of coherent states ...
Adler S L +17 more
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The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential [PDF]
, 2004 The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential is constructed. The one-dimensional rectangular potential provides another opportunity to show that the rigged Hilbert space fully accounts for Dirac's bra-ket ...
R. Madrid
semanticscholar +1 more source
Exact and approximate operator parallelism
, 2014 Extending the notion of parallelism we introduce the concept of approximate parallelism in normed spaces and then substantially restrict ourselves to the setting of Hilbert space operators endowed with the operator norm.
Moslehian, Mohammad Sal, Zamani, Ali
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
On Pre-Hilbert and Positive Implicative Pre-Hilbert Algebras
Bulletin of the Section of LogicIn the paper, pre-Hilbert algebras are defined as a generalization of Hilbert algebras (namely, a Hilbert algebra is just a pre-Hilbert algebra satisfying the property of antisymmetry).
Andrzej Walendziak
doaj +1 more source
C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type
International Journal of Mathematics and Mathematical Sciences, 2014 A Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among ...
Kengo Matsumoto
doaj +1 more source
On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs [PDF]
, 2009 We study the Hilbert function and the Hilbert series of the vertex cover algebra $A(G)$, where $G$ is a Cohen-Macaulay bipartite graph.Comment: 12 ...
Ion, Cristian
core +3 more sources
, 2008 Quantum effects play an important role in quantum measurement theory. The set of all quantum effects can be organized into an algebraical structure called effect algebra.
Arias +25 more
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Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Representations of the Schrodinger algebra and Appell systems
, 2000 We investigate the structure of the Schrodinger algebra and its representations in a Fock space realized in terms of canonical Appell systems. Generalized coherent states are used in the construction of a Hilbert space of functions on which certain ...
Avram +11 more
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