Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications

Anthony P. Peirce; Mohammed A. Dahleh; Herschel Rabitz

doi:10.1103/physreva.37.4950

Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications

Physical Review A ◽

10.1103/physreva.37.4950 ◽

1988 ◽

Vol 37 (12) ◽

pp. 4950-4964 ◽

Cited By ~ 626

Author(s):

Anthony P. Peirce ◽

Mohammed A. Dahleh ◽

Herschel Rabitz

Keyword(s):

Optimal Control ◽

Numerical Approximation ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems

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Turnpike solutions in optimal control problems for quantum-mechanical systems

Automation and Remote Control ◽

10.1134/s0005117911060129 ◽

2011 ◽

Vol 72 (6) ◽

pp. 1248-1257 ◽

Cited By ~ 10

Author(s):

V. I. Gurman

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Control Problems ◽

Quantum Mechanical Systems

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Controllability of quantum mechanical systems by root space decomposition of su(N)

Journal of Mathematical Physics ◽

10.1063/1.1467611 ◽

2002 ◽

Vol 43 (5) ◽

pp. 2051 ◽

Cited By ~ 121

Author(s):

Claudio Altafini

Keyword(s):

Mechanical Systems ◽

Quantum Mechanical ◽

Root Space ◽

Space Decomposition ◽

Quantum Mechanical Systems

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Quantized scalar field of an accelerated mirror in interaction with quantum-mechanical systems

Lettere al Nuovo Cimento ◽

10.1007/bf02816979 ◽

1982 ◽

Vol 34 (11) ◽

pp. 327-332

Author(s):

H. Lüschen ◽

K. O. Thiklheim

Keyword(s):

Scalar Field ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems

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The probability structure of quantum-mechanical systems

Synthese ◽

10.1007/bf00484956 ◽

1974 ◽

Vol 29 (1-4) ◽

pp. 155-185 ◽

Cited By ~ 7

Author(s):

Zoltan Domotor

Keyword(s):

Mechanical Systems ◽

Quantum Mechanical ◽

Probability Structure ◽

Quantum Mechanical Systems

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Difficulty and possibility of Kinetic Theory of Quantum-Mechanical Systems. Part VI-Summary, Addenda and Conclusion

10.21236/ad0715125 ◽

1970 ◽

Author(s):

Toyoki Koga

Keyword(s):

Kinetic Theory ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems

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The Probability Structure of Quantum-Mechanical Systems

Logic and Probability in Quantum Mechanics ◽

10.1007/978-94-010-9466-5_8 ◽

1976 ◽

pp. 147-177

Author(s):

Zoltan Domotor

Keyword(s):

Mechanical Systems ◽

Quantum Mechanical ◽

Probability Structure ◽

Quantum Mechanical Systems

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Uncertainty Principle and Ground-State Energies of Quantum-Mechanical Systems

Kluwer Texts in the Mathematical Sciences - Exercises in Quantum Mechanics ◽

10.1007/978-94-011-2652-6_5 ◽

1992 ◽

pp. 68-73

Author(s):

Harry Mavromatis

Keyword(s):

Uncertainty Principle ◽

Ground State ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems ◽

Ground State Energies

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Uncertainty Principle and Ground State Energies of Quantum Mechanical Systems

Exercises in Quantum Mechanics ◽

10.1007/978-94-015-7771-7_5 ◽

1987 ◽

pp. 60-63

Author(s):

Harry A. Mavromatis

Keyword(s):

Uncertainty Principle ◽

Ground State ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems ◽

Ground State Energies

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Measurement of Time Correlations in Quantum-Mechanical Systems

Science ◽

10.1126/science.144.3618.563-a ◽

1964 ◽

Vol 144 (3618) ◽

pp. 563-563

Author(s):

M. L. Goldberger

Keyword(s):

Mechanical Systems ◽

Quantum Mechanical ◽

Time Correlations ◽

Quantum Mechanical Systems

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Generalized Master Equation for Quantum-Mechanical Systems to all Orders in the Density

Physical Review ◽

10.1103/physrev.136.a879 ◽

1964 ◽

Vol 136 (4A) ◽

pp. A879-A888 ◽

Cited By ~ 7

Author(s):

Jerome Weinstock

Keyword(s):

Master Equation ◽

Mechanical Systems ◽

Quantum Mechanical ◽

Quantum Mechanical Systems ◽

Generalized Master Equation

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