Relevant bibliographies by topics / Schrödinger–Hardy systems

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Schrödinger–Hardy systems'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Schrödinger–Hardy systems"

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Pucci, Patrizia. "Critical Schrödinger-Hardy systems in the Heisenberg group." Discrete & Continuous Dynamical Systems - S 12, no. 2 (2019): 375–400. http://dx.doi.org/10.3934/dcdss.2019025.

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Fiscella, Alessio, Patrizia Pucci, and Binlin Zhang. "p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities." Advances in Nonlinear Analysis 8, no. 1 (June 30, 2018): 1111–31. http://dx.doi.org/10.1515/anona-2018-0033.

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Abstract This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator. Existence is derived as an application of the mountain pass theorem and the Ekeland variational principle. The main features and novelty of the paper are the presence of the Hardy terms as well as critical nonlinearities.
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Bordoni, Sara, and Patrizia Pucci. "Schrödinger–Hardy systems involving two Laplacian operators in the Heisenberg group." Bulletin des Sciences Mathématiques 146 (July 2018): 50–88. http://dx.doi.org/10.1016/j.bulsci.2018.03.001.

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Faraci, Francesca, Csaba Farkas, and Alexandru Kristály. "Multipolar Hardy inequalities on Riemannian manifolds." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 2 (January 26, 2018): 551–67. http://dx.doi.org/10.1051/cocv/2017057.

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We prove multipolar Hardy inequalities on complete Riemannian manifolds, providing various curved counterparts of some Euclidean multipolar inequalities due to Cazacu and Zuazua [Improved multipolar Hardy inequalities, 2013]. We notice that our inequalities deeply depend on the curvature, providing (quantitative) information about the deflection from the flat case. By using these inequalities together with variational methods and group-theoretical arguments, we also establish non-existence, existence and multiplicity results for certain Schrödinger-type problems involving the Laplace-Beltrami operator and bipolar potentials on Cartan-Hadamard manifolds and on the open upper hemisphere, respectively.
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Fiscella, Alessio, Patrizia Pucci, and Sara Saldi. "Existence of entire solutions for Schrödinger–Hardy systems involving two fractional operators." Nonlinear Analysis 158 (July 2017): 109–31. http://dx.doi.org/10.1016/j.na.2017.04.005.

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Wang, Guotao, and Xueyan Ren. "Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy–Schrödinger systems." Applied Mathematics Letters 110 (December 2020): 106560. http://dx.doi.org/10.1016/j.aml.2020.106560.

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Zhang, Jian, and Wen Zhang. "Existence and asymptotic behavior of ground states for Schrödinger systems with Hardy potential." Nonlinear Analysis 189 (December 2019): 111586. http://dx.doi.org/10.1016/j.na.2019.111586.

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ADIMURTHI. "BEST CONSTANTS AND POHOZAEV IDENTITY FOR HARDY–SOBOLEV-TYPE OPERATORS." Communications in Contemporary Mathematics 15, no. 03 (May 19, 2013): 1250050. http://dx.doi.org/10.1142/s0219199712500502.

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This paper is threefold. Firstly, we reformulate the definition of the norm induced by the Hardy inequality (see [J. L. Vázquez and N. B. Zographopoulos, Functional aspects of the Hardy inequality. Appearance of a hidden energy, preprint (2011); http://arxiv. org/abs/1102.5661]) to more general elliptic and sub-elliptic Hardy–Sobolev-type operators. Secondly, we derive optimal inequalities (see [C. Cowan, Optimal inequalities for general elliptic operator with improvement, Commun. Pure Appl. Anal.9(1) (2010) 109–140; N. Ghoussoub and A. Moradifam, Bessel pairs and optimal Hardy and Hardy–Rellich inequalities, Math. Ann.349(1) (2010) 1–57 (electronic)]) for multiparticle systems in ℝN and Heisenberg group. In particular, we provide a direct proof of an optimal inequality with multipolar singularities shown in [R. Bossi, J. Dolbeault and M. J. Esteban, Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators, Commun. Pure Appl. Anal.7(3) (2008) 533–562]. Finally, we prove an approximation lemma which allows to show that the domain of the Dirichlet–Laplace operator is dense in the domain of the corresponding Hardy operators. As a consequence, in some particular cases, we justify the Pohozaev-type identity for such operators.
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DE ANGELIS, GIAN FABRIZIO. "PATH INTEGRALS FOR QUBITS." International Journal of Modern Physics B 18, no. 04n05 (February 20, 2004): 617–22. http://dx.doi.org/10.1142/s0217979204024239.

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Feynman started the theory of quantum computation by observing that quantum mechanical amplitudes cannot be simulated efficiently on a computer, since path integrals are computationally hard. Path integrals are heuristic tools for Schrödinger's hamiltonians, at least for real time dynamics. On the contrary they have a rigorous mathematical meaning for quantum systems which are worth a finite but no matter how large number of qubits.
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Anaya-Morales, A., and F. Delgado. "Enquiring Electronic Structure Using Quantum Computers: Hands on Qiskit." Journal of Physics: Conference Series 2448, no. 1 (February 1, 2023): 012014. http://dx.doi.org/10.1088/1742-6596/2448/1/012014.

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Abstract Solving the electronic structure for multi-electronic systems is a hard problem. Even for small atoms and molecules, approximations have to be made in order to solve numerically the Schrödinger equation. Although different methods have been developed to take into account electron correlations, their computational cost reduces their feasibility. Quantum simulation provides an alternative to traditional computational methods for enquiring the electronic structure of molecules. Specifically, the Variational Quantum Eigensolver (VQE) algorithm provides a hybrid quantum-classical algorithm for the implementation on current near term quantum devices. In this work, we explore the implementation of VQE on Qiskit for calculating the ground-state energy of diatomic Hydrogen molecule.
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Dissertations / Theses on the topic "Schrödinger–Hardy systems"

1

BORDONI, SARA. "Nonlinear elliptic problems in the Heisenberg group." Doctoral thesis, 2018. http://hdl.handle.net/2158/1121183.

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The aim of this Ph.D. thesis is to present new results concerning the study of nonlinear elliptic problems in the context of the Heisenberg group. We deal with different problems, but the common thread consists in extending to a more general setting, the Heisenberg group, results proved in the Euclidean case. This generalization process in the Heisenberg framework implies a series of technical difficulties, that force the use of new key theorems.
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