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Soley MB, Markmann A, Batista VS. Classical Optimal Control for Energy Minimization Based On Diffeomorphic Modulation under Observable-Response-Preserving Homotopy. J Chem Theory Comput 2018; 14:3351-3362. [DOI: 10.1021/acs.jctc.8b00124] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Micheline B. Soley
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
- Energy Sciences Institute, Yale University, P.O.
Box 27394, West Haven, Connecticut 06516-7394, United States
| | - Andreas Markmann
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
- Energy Sciences Institute, Yale University, P.O.
Box 27394, West Haven, Connecticut 06516-7394, United States
| | - Victor S. Batista
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
- Energy Sciences Institute, Yale University, P.O.
Box 27394, West Haven, Connecticut 06516-7394, United States
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2
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Lopez-Pina A, Losada JC, Benito RM, Borondo F. Frequency analysis of the laser driven nonlinear dynamics of HCN. J Chem Phys 2016; 145:244309. [PMID: 28049318 DOI: 10.1063/1.4972260] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We study the vibrational dynamics of a model for the HCN molecule in the presence of a monochromatic laser field. The variation of the structural behavior of the system as a function of the laser frequency is analyzed in detail using the smaller alignment index, frequency maps, and diffusion coefficients. It is observed that the ergodicity of the system depends on the frequency of the excitation field, especially in its transitions from and into chaos. This provides a roadmap for the possibility of bond excitation and dissociation in this molecule.
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Affiliation(s)
- A Lopez-Pina
- Grupo de Sistemas Complejos and Unidad de Física, Escuela Técnica Superior de Ingeniería Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, E-28040 Madrid, Spain
| | - J C Losada
- Grupo de Sistemas Complejos and Unidad de Física, Escuela Técnica Superior de Ingeniería Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, E-28040 Madrid, Spain
| | - R M Benito
- Grupo de Sistemas Complejos and Unidad de Física, Escuela Técnica Superior de Ingeniería Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, E-28040 Madrid, Spain
| | - F Borondo
- Departamento de Química, Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain
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3
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Ghosh S, Talukder S, Sen S, Chaudhury P. Optimised polychromatic field-mediated suppression of H-atom tunnelling in a coupled symmetric double well: two-dimensional malonaldehyde model. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1068393] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
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4
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Joe-Wong C, Ho TS, Rabitz H, Wu R. Topology of classical molecular optimal control landscapes for multi-target objectives. J Chem Phys 2015; 142:154115. [PMID: 25903874 DOI: 10.1063/1.4918274] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Abstract
This paper considers laser-driven optimal control of an ensemble of non-interacting molecules whose dynamics lie in classical phase space. The molecules evolve independently under control to distinct final states. We consider a control landscape defined in terms of multi-target (MT) molecular states and analyze the landscape as a functional of the control field. The topology of the MT control landscape is assessed through its gradient and Hessian with respect to the control. Under particular assumptions, the MT control landscape is found to be free of traps that could hinder reaching the objective. The Hessian associated with an optimal control field is shown to have finite rank, indicating an inherent degree of robustness to control noise. Both the absence of traps and rank of the Hessian are shown to be analogous to the situation of specifying multiple targets for an ensemble of quantum states. Numerical simulations are presented to illustrate the classical landscape principles and further characterize the system behavior as the control field is optimized.
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Affiliation(s)
- Carlee Joe-Wong
- Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544-1000, USA
| | - Tak-San Ho
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544-1009, USA
| | - Herschel Rabitz
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544-1009, USA
| | - Rebing Wu
- Department of Automation, Tsinghua University, Beijing, People's Republic of China
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5
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Sen S, Talukder S, Chaudhury P. Optimal designing of polychromatic field for maximum dissociation of LiH molecule. INDIAN JOURNAL OF PHYSICS 2013; 87:865-872. [DOI: 10.1007/s12648-013-0307-3] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/19/2023]
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6
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Joe-Wong C, Ho TS, Long R, Rabitz H, Wu R. Topology of classical molecular optimal control landscapes in phase space. J Chem Phys 2013; 138:124114. [PMID: 23556716 DOI: 10.1063/1.4797498] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Abstract
Optimal control of molecular dynamics is commonly expressed from a quantum mechanical perspective. However, in most contexts the preponderance of molecular dynamics studies utilize classical mechanical models. This paper treats laser-driven optimal control of molecular dynamics in a classical framework. We consider the objective of steering a molecular system from an initial point in phase space to a target point, subject to the dynamic constraint of Hamilton's equations. The classical control landscape corresponding to this objective is a functional of the control field, and the topology of the landscape is analyzed through its gradient and Hessian with respect to the control. Under specific assumptions on the regularity of the control fields, the classical control landscape is found to be free of traps that could hinder reaching the objective. The Hessian associated with an optimal control field is shown to have finite rank, indicating the presence of an inherent degree of robustness to control noise. Extensive numerical simulations are performed to illustrate the theoretical principles on (a) a model diatomic molecule, (b) two coupled Morse oscillators, and (c) a chaotic system with a coupled quartic oscillator, confirming the absence of traps in the classical control landscape. We compare the classical formulation with the mathematically analogous quantum state-to-state transition probability control landscape.
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Affiliation(s)
- Carlee Joe-Wong
- Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000, USA
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7
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Sethi A, Keshavamurthy S. Driven coupled Morse oscillators: visualizing the phase space and characterizing the transport. Mol Phys 2012. [DOI: 10.1080/00268976.2012.667166] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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8
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Guha S, Mukherjee N, Chaudhury P. A simulated annealing based study to design optimum pulses for selective target excitation in vibrational levels. INDIAN JOURNAL OF PHYSICS 2012; 86:245-252. [DOI: 10.1007/s12648-012-0065-7] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/19/2023]
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KONDORSKIY ALEXEY, NAKAMURA HIROKI. SEMICLASSICAL FORMULATION OF OPTIMAL CONTROL THEORY. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633605001416] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In the present paper, semiclassical formulation of optimal control theory is made by combining the conjugate gradient search method with new approximate semiclassical expressions for correlation function. Two expressions for correlation function are derived. The simpler one requires calculations of coordinates and momenta of classical trajectories only. The second one requires extra calculation of common semiclassical quantities; as a result additional quantum effects can be taken into account. The efficiency of the method is demonstrated by controlling nuclear wave packet motion in a two-dimensional model system.
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Affiliation(s)
- ALEXEY KONDORSKIY
- Department of Theoretical Studies, Institute for Molecular Science, Myodaiji, Okazaki 444-8585, Japan
- Lebedev Physical Institute, Russian Academy of Sciences, Leninsky pr., 53, Moscow, 119991, Russia
| | - HIROKI NAKAMURA
- Department of Theoretical Studies, Institute for Molecular Science, Myodaiji, Okazaki 444-8585, Japan
- Department of Functional Molecular Science, The Graduate University for Advanced Studies, Myodaiji, Okazaki 444-8585, Japan
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11
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Local Control Theory: Recent Applications to Energy and Particle Transfer Processes in Molecules. ADVANCES IN CHEMICAL PHYSICS 2009. [DOI: 10.1002/9780470431917.ch2] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/04/2023]
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12
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Corrigendum to “Classical aspects emerging from local control of energy and particle transfer in molecules” [J. Photochem. Photobiol. A: Chem. 180 (2006) 271–276]. J Photochem Photobiol A Chem 2007. [DOI: 10.1016/j.jphotochem.2006.11.020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Varandas AJC, Rodrigues SPJ. New Double Many-Body Expansion Potential Energy Surface for Ground-State HCN from a Multiproperty Fit to Accurate ab Initio Energies and Rovibrational Calculations. J Phys Chem A 2005; 110:485-93. [PMID: 16405320 DOI: 10.1021/jp051434p] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An accurate single-sheeted double many-body expansion potential energy surface has been obtained for the ground electronic state of the hydrogen cyanide molecule via a multiproperty fit to ab initio energies and rovibrational data. This includes 106 rovibrational levels and 2313 discrete points, which are fit with a rmsd of 4 cm(-1) and 2.42 kcal mol(-1), respectively, and seven zero first-derivatives that are reproduced at three stationary points. Since the potential also describes accurately the appropriate asymptotic limits at the various dissociation channels, it is commended both for the simulation of rovibrational spectra and reaction dynamics.
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Affiliation(s)
- A J C Varandas
- Departamento de Química, Universidade de Coimbra 3004-535 Coimbra, Portugal
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Gong J, Ma A, Rice SA. Controlled subnanosecond isomerization of HCN to CNH in solution. J Chem Phys 2005; 122:204505. [PMID: 15945750 DOI: 10.1063/1.1913398] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We report a study of control of the HCN-->CNH isomerization in a liquid Ar solution. We show, using molecular dynamics simulations, nearly complete conversion from HCN to CNH can be achieved in solution on the subnanosecond time scale without requiring laser pulse shaping or molecular alignment. The mechanism of the isomerization reaction involves multiphoton rovibrational excitation on the ground electronic state potential energy surface coupled with rapid rovibrational relaxation in solution. The results demonstrate the important role of rotation-vibration coupling in multiphoton excitation of small molecules and constitute the first realistic computational demonstration of fast, robust, and high-yield laser field manipulation of solution-phase molecular processes.
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Affiliation(s)
- Jiangbin Gong
- Department of Chemistry and The James Franck Institute, The University of Chicago, Illinois 60637, USA
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Gong J, Ma A, Rice SA. Isomerization and dissociation dynamics of HCN in a picosecond infrared laser field: A full-dimensional classical study. J Chem Phys 2005; 122:144311. [PMID: 15847526 DOI: 10.1063/1.1871893] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We report a full-dimensional study of the classical dynamics of HCN-->HNC isomerization and of HCN rovibrational dissociation driven by a strong but nonionizing picosecond infrared laser field. The dynamics of the isolated molecule and of the molecule in liquid Ar have both been studied. Our theoretical and numerical results show that when all degrees of freedom are accounted for the field induced molecular dynamics can be totally different from what was found in previous studies, where the HCN molecule is restricted to a plane containing the external field. It is shown that as HCN is driven by an infrared laser field, the rotation of the H atom around the C-N bond provides an important and highly efficient energy absorption mechanism. In the presence of a monochromatic picosecond infrared laser field with an intensity of 10(13) W/cm(2), this energy absorption mechanism generates considerable HCN-->HNC isomerization yield or high rovibrational dissociation yield without molecular preorientation or prealignment. Our study of the field induced isomerization and dissociation dynamics of the same system in liquid Ar shows that the picosecond isomerization dynamics is insignificantly affected by the surrounding atomic liquid whereas the dissociation yield may be greatly suppressed in a high density liquid. The implications of this study for full-dimensional quantum dynamics of multiphoton rovibrational excitation and dissociation of triatomics are briefly discussed.
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Affiliation(s)
- Jiangbin Gong
- Department of Chemistry, James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
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16
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Brezina R, Liu WK. Control of Bond Excitation and Dissociation in HCN Using Laser Pulses. J Phys Chem A 2004. [DOI: 10.1021/jp0489370] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Richard Brezina
- Department of Physics and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
| | - Wing-Ki Liu
- Department of Physics and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
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17
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Hasbani R, Ostojić B, Bunker PR, Yu. Ivanov M. Selective dissociation of the stronger bond in HCN using an optical centrifuge. J Chem Phys 2002. [DOI: 10.1063/1.1478696] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Umeda H, Fujimura Y. Quantum control of chemical reaction dynamics in a classical way. J Chem Phys 2000. [DOI: 10.1063/1.1287837] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hoki K, Ohtsuki Y, Kono H, Fujimura Y, Koseki S. Quantum Control of the Photodissociation of Sodium Iodide. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 1999. [DOI: 10.1246/bcsj.72.2665] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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21
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Selective bond-breaking in molecules by intense infrared radiation. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00100-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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22
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Botina J, Rabitz H, Rahman N. Erratum: “A new approach to molecular classical optimal control: Application to the reaction HCN→HC+N” [J. Chem. Phys. 102, 226 (1995)]. J Chem Phys 1999. [DOI: 10.1063/1.478798] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Ohtsuki Y, Yahata Y, Kono H, Fujimura Y. Application of a locally optimized control theory to pump–dump laser-driven chemical reactions. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00224-3] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Abstract
Strong field atomic and molecular interactions can be understood by following electronic dynamics inside the laser cycle. This quasistatic perspective introduces the subfemtosecond time scale into strong-field dynamics through time-dependent Born-Oppenheimer surfaces. We discuss both theoretical and experimental results in atomic and molecular ionization and dissociation with applications to femtochemistry. An all-optical Coulomb explosion method for determining time-dependent molecular structure and properties is demonstrated. The concept of time-dependent Born-Oppenheimer surfaces is used to study molecular dissociation and exchange reactions in infrared fields.
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Affiliation(s)
- P B Corkum
- Steacie Institute for Molecular Sciences, National Research Council of Canada, M-23A Montreal Rd, Ottawa, Ontario K1A 0R6, Canada
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26
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Matusek DR, Wright JS. Exchange reactions in intense infrared laser fields. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:5159-5170. [PMID: 9914086 DOI: 10.1103/physreva.54.5159] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Thachuk M, Ivanov MY, Wardlaw DM. A semiclassical approach to intense‐field above‐threshold dissociation in the long wavelength limit. J Chem Phys 1996. [DOI: 10.1063/1.472281] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Matusek D, Ivanov M, Wright J. IR laser enhancement of the H + H2 reaction on an accurate dipole moment surface. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)00638-0] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Ivanov M, Matusek D, Wright J. Altered reaction dynamics: lowered barriers and bound states induced by intense infrared laser fields. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)00402-2] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Botina J, Rabitz H, Rahman N. A simplified approach to optimally controlled quantum dynamics. J Chem Phys 1996. [DOI: 10.1063/1.471215] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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31
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Dubov V, Rabitz H. δ ‐target optimal control of molecular dynamics: Application to a rotating diatomic molecule. J Chem Phys 1995. [DOI: 10.1063/1.470152] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Botina J, Rabitz H, Rahman N. Determining regular orbits in the presence of irregular trajectories using optimal control theory. J Chem Phys 1995. [DOI: 10.1063/1.470393] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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