Results 161 to 170 of about 103,519 (218)
Bell's Inequalities and Entanglement in Corpora of Italian Language. [PDF]
Entropy (Basel)Aerts D +3 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On J-Self-Adjoint Differential Operators Similar to Self-Adjoint Operators
Mathematical Notes, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
1996
In this chapter, we make a preliminary study of one of the most important classes of operators on a Hilbert space, the self-adjoint operators. These operators are the infinite-dimensional analogues of symmetric matrices. They play an essential role in quantum mechanics as they determine the time evolution of quantum states.
P. D. Hislop, I. M. Sigal
openaire +1 more source
In this chapter, we make a preliminary study of one of the most important classes of operators on a Hilbert space, the self-adjoint operators. These operators are the infinite-dimensional analogues of symmetric matrices. They play an essential role in quantum mechanics as they determine the time evolution of quantum states.
P. D. Hislop, I. M. Sigal
openaire +1 more source
Mathematical Notes, 2005
Let \(A\) be an operator of the form \[ A\equiv JL= (\text{sgn\,}t)\Biggl(- {d^2\over dt^2} Q\Biggr), \] where \(\text{dom}(A)= \text{dom}(L)\). The main result in the paper is that the spectrum of the operator \(A\) is real, and \(A\) is similar to a selfadjoint operator if and only if \(Q\geq 0\).
Karabash, I. M., Hassi, S.
openaire +2 more sources
Let \(A\) be an operator of the form \[ A\equiv JL= (\text{sgn\,}t)\Biggl(- {d^2\over dt^2} Q\Biggr), \] where \(\text{dom}(A)= \text{dom}(L)\). The main result in the paper is that the spectrum of the operator \(A\) is real, and \(A\) is similar to a selfadjoint operator if and only if \(Q\geq 0\).
Karabash, I. M., Hassi, S.
openaire +2 more sources
Strongly Supercommuting Self-Adjoint Operators
Integral Equations and Operator Theory, 2004For unbounded self-adjoint operators, strong commutativity is defined in terms of commutativity of the corresponding spectral measures. In 1983, the reviewer introduced a concept of strong anticommutativity, also expressed in terms of spectral measures [see Rev. Roum. Math. Pures Appl. 28, 77--91 (1983; Zbl 0525.47017)].
openaire +2 more sources
2011
Of particular importance in operator theory are self-adjoint operators. To this end, we first recall the notion of the adjoint of a bounded linear operator A on a Hilbert space X. A linear operator B on X is said to be an adjoint of A if $$(Ax,y) = (x, By), \quad x,y \epsilon X.$$
openaire +1 more source
Of particular importance in operator theory are self-adjoint operators. To this end, we first recall the notion of the adjoint of a bounded linear operator A on a Hilbert space X. A linear operator B on X is said to be an adjoint of A if $$(Ax,y) = (x, By), \quad x,y \epsilon X.$$
openaire +1 more source
Non‐Self‐Adjoint Differential Operators
Bulletin of the London Mathematical Society, 2002A description is given of methods that have been used to analyze the spectrum of non‐self‐adjoint differential operators, emphasizing the differences from the self‐adjoint theory. It transpires that even in cases in which the eigenfunctions can be determined explicitly, they often do not form a basis; this is closely related to a high degree of ...
openaire +3 more sources
Self-Adjoint Operators and Cones
Journal of the London Mathematical Society, 1996Summary: Suppose that \(K\) is a cone in a real Hilbert space \({\mathcal H}\) with \(K^\perp=\{0\}\), and that \(A:{\mathcal H}\to{\mathcal H}\) is a selfadjoint operator which maps \(K\) into itself. If \(|A|\) is an eigenvalue of \(A\), it is shown that it has an eigenvector in the cone.
openaire +1 more source