Results 11 to 20 of about 89,573 (273)
Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space
Advances in Nonlinear Analysis, 2018 Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann Nils
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On superposition operators in spaces BV(0,1)
Journal of Mathematical Analysis and Applications, 2016 Abstract For a function f : [ 0 , 1 ] × R → R the superposition operator S f : R [ 0 , 1 ] → R [ 0 , 1 ] is defined by the formula S f ( φ ) ( t ) = f ( t , φ ( t ) ) . We study properties of operators S f in Banach spaces B V φ ( 0 , 1 )
Artur Michalak
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Solving the Bose-Hubbard model in new ways [PDF]
Quantum, 2022 We introduce a new method for analysing the Bose-Hubbard model for an array of bosons with nearest neighbor interactions. It is based on a number-theoretic implementation of the creation and annihilation operators that constitute the model.
Artur Sowa, Jonas Fransson
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Quantum Interference in the Kirkwood-Rihaczek representation [PDF]
, 2002 We discuss the Kirkwood-Rihaczek phase space distribution and analyze a whole new class of quasi-distributions connected with this function. All these functions have the correct marginals.
Agarwal +25 more
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Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We study the quadratic integral equation in the space of Orlicz space $E_{\varphi}$ in the most important case when $\varphi$ satisfies the $\Delta_2$-condition.
Mieczyslaw Cichon, Mohamed Metwali
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On Bellman-Golubov theorems for the Riemann-Liouville operators
Journal of Function Spaces and Applications, 2009 Superposition of Fourier transform with the Riemann - Liouville operators is studied.
Pham Tien Zung
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Experimental implementation of arbitrary entangled operations
New Journal of Physics, 2020 Quantum entanglement lies at the heart of quantum mechanics in both fundamental and practical aspects. The entanglement of quantum states has been studied widely both theoretically and experimentally, however, the entanglement of operators has not been ...
Seongjin Hong +6 more
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Constructive control of quantum systems using factorization of unitary operators [PDF]
, 2002 We demonstrate how structured decompositions of unitary operators can be employed to derive control schemes for finite-level quantum systems that require only sequences of simple control pulses such as square wave pulses with finite rise and decay times ...
Abraham A +13 more
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On Generalized Step-Functions and Superposition Operators [PDF]
gmj, 2004 Abstract For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators.
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Electron vortex beams in nonuniform magnetic fields
Physical Review Research, 2021 We consider the quantum theory of paraxial nonrelativistic electron beams in nonuniform magnetic fields, such as the Glaser field. We find the wave function of an electron from such a beam and show that it is a joint eigenstate of two (z-dependent ...
Abhijeet Melkani, S. J. van Enk
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