self-adjoint

  • 51Signed measure — In mathematics, signed measure is a generalization of the concept of measure by allowing it to have negative values. Some authors may call it a charge,[1] by analogy with electric charge, which is a familiar distribution that takes on positive… …

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  • 52Finite dimensional von Neumann algebra — In mathematics, von Neumann algebras are self adjoint operator algebras that are closed under a chosen operator topology. When the underlying Hilbert space is finite dimensional, the von Neumann algebra is said to be a finite dimensional von… …

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  • 53Riemann hypothesis — The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011 …

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  • 54Weitzenböck identity — In mathematics, in particular in differential geometry, mathematical physics, and representation theory a Weitzenbock identity expresses a relationship between two second order elliptic operators on a manifold with the same leading symbol.… …

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  • 55Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 56Bra-ket notation — Quantum mechanics Uncertainty principle …

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  • 57Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… …

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  • 58Riemann-Hilbert — For the original problem of Hilbert concerning the existence of linear differential equations having a given monodromy group see Hilbert s twenty first problem. In mathematics, Riemann Hilbert problems are a class of problems that arise, inter… …

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  • 59Bell's theorem — is a theorem that shows that the predictions of quantum mechanics (QM) are not intuitive, and touches upon fundamental philosophical issues that relate to modern physics. It is the most famous legacy of the late physicist John S. Bell. Bell s… …

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  • 60Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …

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