Results 21 to 30 of about 5,942 (275)
Why the Hamilton Operator Alone Is not Enough [PDF]
Foundations of Physics, 2009 In the many worlds community seems to exist a belief that the physics of a quantum theory is completely defined by it's Hamilton operator given in an abstract Hilbert space, especially that the position basis may be derived from it as preferred using decoherence techniques. We show, by an explicit example of non-uniqueness, taken from the theory of the
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HAMILTON OPERATORS, DISCRETE SYMMETRIES, BRUTE FORCE AND SYMBOLICC++ [PDF]
International Journal of Modern Physics C, 2013 To find the discrete symmetries of a Hamilton operator Ĥ is of central importance in quantum theory. Here, we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting in a finite-dimensional Hilbert space. Spin and Fermi systems are considered as examples.
Steeb, Willi-Hans, Hardy, Yorick
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Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
, 2005 This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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On the eigenfunction expansion for Hamilton operators
Journal of Spectral Theory, 2015 A spectral representation for solutions to linear Hamilton equations with nonnegative energy in Hilbert spaces is obtained. This paper continues our previous work on Hamilton equations with positive definite energy. Our approach is a special version of M. Krein's spectral theory of J
Komech, Alexander, Kopylova, Elena
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Morphological PDEs on Graphs for Image Processing on Surfaces and Point Clouds
ISPRS International Journal of Geo-Information, 2016 Partial Differential Equations (PDEs)-based morphology offers a wide range of continuous operators to address various image processing problems. Most of these operators are formulated as Hamilton–Jacobi equations or curve evolution level set and ...
Abderrahim Elmoataz +2 more
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A Unified Quantization of Gravity and Other Fundamental Forces of Nature
Universe, 2022 We quantized the interaction of gravity with Yang–Mills and spinor fields; hence, offering a quantum theory incorporating all four fundamental forces of nature.
Claus Gerhardt
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On the eigenfunction expansion for the Hamilton operators
Journal of Spectral Theory, 2014 A spectral representation for solutions to linear Hamilton equations with nonnegative energy in Hilbert spaces is obtained. This paper continues our previous work on Hamilton equations with positive definite energy. Our approach is a special version of M. Krein's spectral theory of $J$-selfadjoint operators in Hilbert spaces with indefinite metric.
Komech, Alexander, Kopylova, Elena
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On local spectral properties of extended Hamilton operators
Filomat, 2022 This paper deals with local spectral properties of Extended Hamilton operators and their adjoint operators. The relationship between the local spectral properties (strongly decomposability, hyperinvariant subspace problem, etc.) of Extended Hamilton operators and the corresponding properties of their adjoint operators is obtained.
Wurichaihu Bai, Alatancang Chen
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TOWARD THE QUANTIZATION OF BLACK HOLES
Odessa Astronomical Publications, 2016 In order to construct a quantum model of black hole (BH), we introduce a modified description of classical space-time BH (the Schwarzschild solution). We develop the Lagrangian formalism of the vacuum gravitational field in spherically symmetric space ...
V. D. Gladush
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Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
Universe, 2022 Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is ...
Valery V. Obukhov
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