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In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems… Click to show full abstract
In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either.
Keywords:
time;
time controllability;
controllability bilinear;
small time;
obstruction small
Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!