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Phase-difference operator [PDF]
Physical Review A, 1993 We introduce a unitary operator representing the exponential of the phase difference between two modes of the electromagnetic field. The eigenvalue spectrum has a discrete character that is fully analyzed. We relate this operator with a suitable polar decomposition of the Stokes parameters of the field, obtaining a natural classical limit. The cases of
Luis Aina, Alfredo +1 more
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Landau’s inequality for the difference operator [PDF]
Proceedings of the American Mathematical Society, 1988 The best constants for Landau’s inequality with the classical p p -norms are known explicitly only when
Kwong, Man Kam, Zettl, A.
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The homogeneous q-difference operator
Advances in Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Y. C. Chen +2 more
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Characteristic Classes for Difference Operators [PDF]
Compositio Mathematica, 1999 We introduce and describe the characteristic class of a difference operator over the difference field (k((t)),τ). Here k is an algebraically closed field of characteristic zero and τ is the k-linear automorphism of k((t)) defined by τ(t)=t/(1+t). The approach is based on the characterization of simple difference operators in terms of their eigenvalues.
Levelt, A.H.M., Fahim, A.
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Quantum mechanics with difference operators [PDF]
Reports on Mathematical Physics, 2002 19 pages, LaTeX, using packages: pictex, amssymb; v.2: small corrections, to appear in Rep.
Dobrev, V. K. +2 more
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Computability and the Symmetric Difference Operator
Logic Journal of the IGPL, 2021 Abstract Combinatorial operations on sets are almost never well defined on Turing degrees, a fact so obvious that counterexamples are worth exhibiting. The case we focus on is the symmetric-difference operator; there are pairs of (nonzero) degrees for which the symmetric-difference operation is well defined.
Uri Andrews +4 more
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Resonances for Difference Operators
Journal of Mathematical Analysis and Applications, 1995 The author shows the existence of resonances for the difference operators \(H\) on \(\ell^2(\mathbb{Z})\), defined by \(D^* D+ V\), where \(D: \varphi(n)\mapsto \varphi(n+ 1)- \varphi(n)\), \(D^*: \varphi(n)\mapsto \varphi(n)- \varphi(n- 1)\), and barrier potential \(V\), multiplication by a real-valued function on \(\mathbb{Z}\), \(\text{supp } V ...
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Symmetrizable finite difference operators [PDF]
Mathematics of Computation, 1990 We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss’ theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (
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Chaotic finite difference operators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila +2 more
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On the difference between the ‘In’ and ‘According to’ operators
Linguistics and Philosophy, 2023 Semanticists and philosophers of fiction that formulate analyses of reports on the content of media—or ‘contensive statements’—of the form ‘In/According to s, p’, usually treat the ‘In s’-operator (In) and the ‘According to s’-operator (Acc) on a par.
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