Eigenfunction Expansions Associated With Singular Differential Operators [PDF]
, 1955 Joanne Elliott
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Advanced Quantum Technologies, EarlyView.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
Correction to My Paper “On Titchmarsh-kodaira’s Formula Concerning Weyl-Stone’s Eigenfunction Expansion” in Nagoya Mathematical Journal, Vol. 1 (1950), 49–58 [PDF]
, 1953 Kôsaku Yosida
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Advanced Quantum Technologies, EarlyView.The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley +1 more source
Spectral Properties of the Laplace Operator with Variable Dependent Boundary Conditions in a Disk
AxiomsIn this work, we study the spectral properties of the Laplace operator with variable dependent boundary conditions in a disk. The boundary conditions include periodic and antiperiodic boundary conditions as well as the generalized Samarskii–Ionkin-type ...
Aishabibi Dukenbayeva, Makhmud Sadybekov
doaj +1 more source
Value distribution for eigenfunctions of desymmetrized quantum maps [PDF]
arXiv, 2001 We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous paper it was observed that there are quantum symmetries of the quantum map - a commutative group of unitary operators which commute with the map, which we called ``Hecke ...
arxiv
Singularity at the origin of the Schrodinger Eigenfunction in the Coulomb field [PDF]
, 1948 Gentaro Araki
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Real‐time Nonlinear Model Predictive Control of a Robotic Arm Using Spatial Operator Algebra Theory
Journal of Field Robotics, EarlyView.ABSTRACT Nonlinear model predictive control (NMPC) has inherent challenges, such as high computational burden, nonconvex optimization, and the necessity of powerful and fast processors with large memory for real‐time robotics. In this study, a new NMPC strategy is proposed using Spatial Operator Algebra (SOA) theory to address these challenges, and ...
Tuğçe Yaren, Selçuk Kizir
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Statistical mechanics of neocortical interactions: EEG eigenfunctions of short-term memory [PDF]
arXiv, 2000 This paper focuses on how bottom-up neocortical models can be developed into eigenfunction expansions of probability distributions appropriate to describe short-term memory in the context of scalp EEG. The mathematics of eigenfunctions are similar to the top-down eigenfunctions developed by Nunez, albeit they have different physical manifestations. The
arxiv
On the limit of the coefficients of the eigenfunction series associated with a certain non-self-adjoint differential system [PDF]
, 1956 Luna I. Mishoe, Gloria C. Ford
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