Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence

• URL: http://arxiv.org/abs/2010.08971v1
• Date: Sun, 18 Oct 2020 12:12:01 GMT
• Title: Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence
• Authors: Jeong Ryeol Choi
• Abstract summary: We develop a quantum formalism on the basis of a linear-invariant theorem. We illustrate the correspondence of the quantum energy with the classical one in detail.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory. We develop a quantum formalism on the basis of a linear-invariant theorem, which gives an exact quantum-classical correspondence for damped oscillatory systems that are perturbed by an arbitrary force. Within our formalism, the quantum trajectory and expectation values of quantum observables are precisely coincide with their classical counterparts in the case where we remove the global quantum constant h from their quantum results. In particular, we illustrate the correspondence of the quantum energy with the classical one in detail.

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