Koopmans' theorem

Known as: Koopman's Theorem, Koopman, Koopmann's theorem 
Koopmans' theorem states that in closed-shell Hartree–Fock theory, the first ionization energy of a molecular system is equal to the negative of the… (More)
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2017
2017
We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of… (More)
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Review
2016
Review
2016
Information about the behavior of dynamical systems can often be obtained by analyzing the eigenvalues and corresponding… (More)
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Highly Cited
2015
Highly Cited
2015
The Koopman operator is a linear but infinite-dimensional operator that governs the evolution of scalar observables defined on… (More)
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2013
2013
In this article, we show that the long-range-corrected (LC) density functionals LC-BOP and LCgau-BOP reproduce frontier orbital… (More)
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Highly Cited
2012
Highly Cited
2012
Dynamic mode decomposition (DMD) is an Arnoldi-like method based on the Koopman operator. It analyzes empirical data, typically… (More)
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Highly Cited
2007
Highly Cited
2007
[PDF] [Full Text] [Abstract] , November 15, 2008; 135 (22): 3731-3743. Development N. L. Manuylov, F. O. Smagulova, L. Leach… (More)
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Highly Cited
2006
Highly Cited
2006
Bolanle Adetoun, Angel Barrasa, Mariya Bobina, Muzaffer Bodur, Yi-Jung Chen, Sukhendu Debbarma, Peter Dorfman, Rosemary R… (More)
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Highly Cited
2003
Highly Cited
2003
The volatility of economic activity in most G7 economies has moderated over the past forty years. Also, despite large increases… (More)
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Highly Cited
2002
Highly Cited
2002
We propose using the price range in the estimation of stochastic volatility models. We show theoretically, numerically, and… (More)
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Highly Cited
2000
Highly Cited
2000
Uncertainty is involved in many real phenomena. Whether one considers uncertainty explicitly when modeling such a phenomenon is… (More)
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