Results 41 to 50 of about 77,626 (202)
Exact quantization and analytic continuation
Journal of High Energy Physics, 2023 In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schrödinger problem in one dimension with a general polynomial potential, based on Wronskian relations.
Barak Gabai, Xi Yin
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Polynomial-Time Simulation of Pairing Models on a Quantum Computer
, 2002 We propose a polynomial-time algorithm for simulation of the class of pairing Hamiltonians, e.g., the BCS Hamiltonian, on an NMR quantum computer. The algorithm adiabatically finds the low-lying spectrum in the vicinity of the gap between ground and ...
C. Zalka +10 more
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POLYNOMIAL HAMILTONIAN STRUCTURE FOR THE A4-SYSTEM
Kyushu Journal of Mathematics, 1998 Let \(n\) be a positive integer. A linear differential equation of the form \[ {d^2y\over dx^2}+ p_1(x, t){dy\over dx}+ p_2(x,t) y=0 \] with \[ p_1(x, t)= -A_n(x, t)- \sum^n_{k= 1}{1\over x-\lambda_k}, \] \[ p_2(x,t)=- (2\alpha+ 1)x^n- 2 \sum^n_{j=1} H_j x^{n-j}+ \sum^n_{k= 1}{\mu_k\over x-\lambda_k} \] and \[ A_n(x,t)= 2x^{n+ 1}+ \sum^n_{j=1} jt_j x ...
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle
Abstract and Applied Analysis, 2014 We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle.
Huanhuan Tian, Maoan Han
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Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows
, 2016 Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic flows admitting the initial polynomial as integral.
Manno, Gianni, Pavlov, Maxim V.
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Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
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The Liouville-type theorem for integrable Hamiltonian systems with incomplete flows
, 2012 For integrable Hamiltonian systems with two degrees of freedom whose Hamiltonian vector fields have incomplete flows, an analogue of the Liouville theorem is established.
A. G. Khovanskii +11 more
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Unveiling a Bulk WTaV Multicomponent Alloy With Superior Thermal Properties and Manufacturability
Advanced Science, EarlyView.ABSTRACT Many tungsten (W)‐based medium and high entropy alloys (HEA) demonstrate superior microstructural stability and enhanced mechanical properties as compared to pure W, effectively rendering them as viable candidate materials for extreme environments such as nuclear fusion, aerospace applications, and so on.
Ishtiaque K. Robin +11 more
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Grand Unification of Quantum Algorithms
PRX Quantum, 2021 Quantum algorithms offer significant speed-ups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian simulation, which
John M. Martyn +3 more
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