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Comment on "Do we have a consistent non-adiabatic quantum-classical mechanics?" by Agostini F. et al.

Vladimir V. Kisil

Published Mar 29, 2010• 5 citations
OpenAlex

Abstract

We argue with claims of the paper [Agostini F., Caprara S. and Ciccotti G., Europhys. Lett. EPL, 78 (2007) Art. 30001, 6] that the quantum-classic bracket introduced in [arXiv:quant-ph/0506122] produces "artificial coupling" and has "genuinely classical nature".

Related papers

Comment on “Do we have a consistent non-adiabatic quantum-classical mechanics?” by Agostini F. et al.

V. V. Kisil

We argue with claims of the paper [Agostini F., Caprara S. and Ciccotti G., Europhys. Lett. EPL, 78 (2007) Art. 30001, 6] that the quantum-classic bracket introduced in [arXiv:quant-ph/0506122] produces "artificial coupling" and has "genuinely classical nature". Keywords: p-mechanics, quantum, classic, commutator, Poisson bracket, mixing, coupling, semi-classical

arXiv:0907.0855•Europhysics Letters (EPL)•Mar 1, 2010•9 citations

Do we have a consistent non-adiabatic quantum-classical mechanics?

Federica Agostini, S. Caprara, Giovanni Ciccotti

Quantum-classical equations of motion satisfying Jacobi identity were recently proposed by V. V. Kisil ( Europhys. Lett. , 72 (2005) 873), generalizing the Heisenberg group formulation of quantum mechanics. In the attempt to provide a physical interpretation for the resulting quantum-classical dynamics, we have reconstructed and analyzed the derivation, finding that there is a suitable representation from which the purely classical nature of the supposedly quantum-classical equations of motion clearly emerges.

Europhysics Letters (EPL)•Apr 12, 2007•44 citations

Reply to the comment "quant-ph/9710002"

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In the comment, Zanardi and Rasetti argue that several claims in our recent letter (Phys. Rev. Lett. 79, 1953, 1997) are questionable. The reply shows these claims remain true.

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Comment on “A quantum-classical bracket that satisfies the Jacobi identity” [J. Chem. Phys. 124, 201104 (2006)]

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It shown that the quantum-classical dynamical bracket recently proposed in J. Chem. Phys. 124, 201104 (2006) fails to satisfy the Jacobi identity.

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In a recent paper (arXiv:1701.04298 [quant-ph]) Toroš, Großardt and Bassi claim that the potential necessary to support a composite particle in a gravitational field must necessarily cancel the relativistic coupling between internal and external degrees of freedom. As such a coupling is responsible for the gravitational redshift measured in numerous experiments, the above statement is clearly incorrect. We identify the simple mistake in the paper responsible for the incorrect claim.

arXiv:1702.06670•Feb 22, 2017•2 citations

Reply to “Comment on ‘A quantum-classical bracket that satisfies the Jacobi identity’ ” [J. Chem. Phys. 124, 201104 (2006)]

Oleg V. Prezhdo

The argument made in the cited Comment is based on a calculation that was not intended in the original paper. Starting from a fully quantum expression, application of the ℏ→0 limit after every bracket calculation as stated in the paper retains consistent orders of ℏ and does obey the Jacobi identity.

The Journal of Chemical Physics•Feb 6, 2007•4 citations
Quantum-classical equations of motion satisfying Jacobi identity were recently proposed by V. V. Kisil ( Europhys. Lett. , 72 (2005) 873), generalizing the Heisenberg group formulation of quantum mechanics. In the attempt to provide a physical interpretation for the resulting quantum-classical dynamics, we have reconstructed and analyzed the derivation, finding that there is a suitable representation from which the purely classical nature of the supposedly quantum-classical equations of motion clearly emerges.