Results 111 to 120 of about 63,478 (260)
Covariant formulation of nonlinear Langevin theory with multiplicative Gaussian white noises
Physical Review Research, 2020 The multidimensional nonlinear Langevin equation with multiplicative Gaussian white noises in Ito's sense is made covariant with respect to nonlinear transform of variables. The formalism involves no metric or affine connection, works for systems with or
Mingnan Ding, Zhanchun Tu, Xiangjun Xing
doaj +1 more source
On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj +1 more source
Integrated Flat‐Top Beam Shaper Using Subwavelength Engineered Critical Guiding
Laser &Photonics Reviews, EarlyView.An integrated flat‐top beam shaper is demonstrated. Subwavelength gratings are utilized to realize the critical guiding of light. The monolithic integrated design provides a scalable solution for high uniformity on‐chip flat‐top beam generation, potential for high‐performance imaging and metrology photonic system.
Liang Zhang +3 more
wiley +1 more source
Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009) 083, 7 pages, arXiv:0908.1755] contains various misconceptions.
Bijan Bagchi, Andreas Fring
doaj +1 more source
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
Nonpositively curved Hermitian metrics on product manifolds [PDF]
Proceedings of the American Mathematical Society, 2011 In this article, we classify all the Hermitian metrics on a complex product manifold with nonpositive holomorphic bisectional curvature. It is a generalization of a result by Zheng.
openaire +3 more sources
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
wiley +1 more source
Bergman kernels and equilibrium measures for ample line bundles
, 2007 Let L be an ample holomorphic line bundle over a compact complex Hermitian manifold X. Any fixed smooth Hermitian metric on L induces a Hilbert space structure on the space of global holomorphic sections with values in the k:th tensor power of L. In this
Berman, Robert
core
Magnetic Resonance in Medicine, EarlyView.Abstract Purpose Real‐time supervision is a crucial element of an RF parallel transmit (pTx) system to supervise safety of the subject during MR imaging and to utilize the full potential of the RF array. However, the computational demand for the specific absorption rate (SAR) calculation scales much greater than linearly with the number of RF channels.
Thomas M. Fiedler +10 more
wiley +1 more source
NEW CONCEPT OF SOLVABILITY IN QUANTUM MECHANICS
Acta Polytechnica, 2013 In quite a few recent quantum models one is allowed to make a given Hamiltonian H self-adjoint only after an ad hoc generalization of Hermitian conjugation, H†→H‡:= Θ −1H†Θ wherethe suitable operator Θ is called Hilbert-space metric.
Miloslav Znojil
doaj +1 more source