Results 171 to 180 of about 5,174 (205)
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2008
Consider the two Hilbert spaces H− and T−. Let K+ : H− → T− be a bounded operator. Consider a measure ρ on H−. Denote by ρK the image of the measure ρ under K+. This paper aims to study the measure ρK assuming ρ to be the spectral measure of a Jacobi field. We present a family of operators whose spectral measure equals ρK.
Berezansky, Yurij M., Pulemotov, Artem
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Consider the two Hilbert spaces H− and T−. Let K+ : H− → T− be a bounded operator. Consider a measure ρ on H−. Denote by ρK the image of the measure ρ under K+. This paper aims to study the measure ρK assuming ρ to be the spectral measure of a Jacobi field. We present a family of operators whose spectral measure equals ρK.
Berezansky, Yurij M., Pulemotov, Artem
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Jacobi fields on a Riemann manifold
Ukrainian Mathematical Journal, 2006Some properties of Jacobi fields on a manifold of nonpositive curvature are considered. As a result, we obtain relations for derivatives of one class of functions on the manifold.
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Jacobi fields for a nonholonomic distribution
Vestnik St. Petersburg University: Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum computational Jacobi fields
2010Summary: In the Riemannian geometry of quantum computation, the quantum evolution is described in terms of the special unitary group of n-qubit unitary operators with unit determinant. To elaborate on several aspects of the methodology, the Riemannian curvature, geodesic equation, Jacobi equation, and lifted Jacobi equation on the group manifold are ...
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Far East Journal of Mathematical Sciences (FJMS), 2016
Hyun Woong Kim +3 more
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Hyun Woong Kim +3 more
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Classical Field Theory in the Hamilton-Jacobi Formalism
Physical Review, 1955A Hamilton-Jacobi formalism of classical relativistic field theory is developed. Both "time-independent" and "time-dependent" formulations are given, and the relation between them is discussed. In the former, the constants of the motion are identified with the "new" field variables, whereas in the latter they are the values of the fields on a suitable ...
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Magnetic Jacobi Fields in Sasakian Space Forms
Mediterranean Journal of Mathematics, 2022Marian Ioan Munteanu, Jun-Ichi Inoguchi
exaly
Jacobi vector fields and conjugate points on warped product manifolds
Reports on Mathematical Physics, 2023Bulent Ünal +2 more
exaly
Jacobi fields, bundles and connections
2020Tämä teksti käsittelee Jacobin kenttiä ja niiden määrittelemiseen tarvittavia rakenteita, erityisesti vektorikimppuja ja konnektioita. Lopputuloksena osoitetaan yksi yhteen-vastaavuus Jacobin kenttien ja geodeesiperheiden variaatiokenttien välillä.
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Magnetic Jacobi Fields in 3-Dimensional Sasakian Space Forms
Journal of Geometric Analysis, 2022Marian Ioan Munteanu, Jun-Ichi Inoguchi
exaly