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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 12
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Articles

Discretization of time-dependent quantum systems: real-time propagation of the evolution operator

Joseph W. JeromeDepartment of Mathematics, Northwestern University, Evanston, IL60208, USA.Correspondence[email protected]
&
Eric PolizziDepartment of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA01003, USA.
Pages 2574-2597 | Received 13 Sep 2013, Accepted 18 Dec 2013, Published online: 06 Feb 2014

Citations (8)

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Read on this site (4)

Joseph W. Jerome. (2023) A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems. Numerical Functional Analysis and Optimization 44:5, pages 394-419.
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G. Ciaramella, M. Sprengel & A. Borzi. (2021) A theoretical investigation of time-dependent Kohn–Sham equations: new proofs. Applicable Analysis 100:10, pages 2254-2273.
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Joseph W. Jerome. (2020) Consistency of local density approximations and quantum corrections for time-dependent quantum systems. Applicable Analysis 99:15, pages 2571-2593.
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Joseph W. Jerome. (2017) The Quantum Faedo-Galerkin Equation: Evolution Operator and Time Discretization. Numerical Functional Analysis and Optimization 38:5, pages 590-601.
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Articles from other publishers (4)

Joseph W. Jerome. (2019) A tight nonlinear approximation theory for time dependent closed quantum systems. Journal of Numerical Mathematics 27:3, pages 141-154.
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Joseph W. Jerome. (2018) Convergent iteration in Sobolev space for time dependent closed quantum systems. Nonlinear Analysis: Real World Applications 40, pages 130-147.
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M. Sprengel, G. Ciaramella & A. Borzì. (2017) A Theoretical Investigation of Time-Dependent Kohn--Sham Equations. SIAM Journal on Mathematical Analysis 49:3, pages 1681-1704.
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Joseph W. Jerome. (2015) Time dependent closed quantum systems: Nonlinear Kohn–Sham potential operators and weak solutions. Journal of Mathematical Analysis and Applications 429:2, pages 995-1006.
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