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Quantum swimming

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C-swimming competition. Shape space=Control space. Swimming stroke ... Swimming: when dX does not. Integrate to a function. The invisibility principle. The ...

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Quantum swimming

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Presentation Transcript

    1. Quantum swimming Boris Gutkin, David Oaknin

    2. Q-Swimming

    3. C-swimming competition

    4. Swimming: definition

    5. Untethered scatterers

    6. Q-Swimming

    8. C-Swimming: The role of friction

    9. Control and response

    10. Swimming in geometric

    11. The invisibility principle

    12. Quantized swimming

    13. Toolbox

    14. Energy shift

    15. Key formula

    16. Quantum friction

    17. Swimming equation

    18. Conceptual issues

    19. (E,t) as a canonical pair

    20. Phase space

    21. Adiabatic as semi-classical limit

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