scholarly journals Dirac's classical-quantum analogy for the harmonic oscillator: Classical aspects in thermal radiation including zero-point radiation

2020 ◽  
Vol 88 (8) ◽  
pp. 640-648
Author(s):  
Timothy H. Boyer
Keyword(s):  
Thermal Radiation ◽  
Harmonic Oscillator ◽  
Zero Point ◽  
Classical Quantum ◽  
Quantum Analogy

Stereodynamics of chemical reactions: quasi-classical, quantum and mixed quantum-classical theories

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Wenwu Xu ◽  
Guangjiu Zhao
Keyword(s):  
Chemical Reactions ◽  
Classical Method ◽  
Zero Point ◽  
Quantum Effects ◽  
Classical Trajectory ◽  
Tunneling Effect ◽  
Point Energy ◽  
Classical Quantum ◽  
Theoretical Results ◽  
Good Agreement

AbstractIn this review, some benchmark works by Han and coworkers on the stereodynamics of typical chemical reactions, triatomic reactions H + D2, Cl + H2 and O + H2 and polyatomic reaction Cl+CH4/CD4, are presented by using the quasi-classical, quantum and mixed quantum-classical methods. The product alignment and orientation in these A+BC model reactions are discussed in detail. We have also compared our theoretical results with experimental measurements and demonstrated that our theoretical results are in good agreement with the experimental results. Quasi-classical trajectory (QCT) method ignores some quantum effects like the tunneling effect and zero-point energy. The quantum method will be very time-consuming. Moreover, the mixed quantum-classical method can take into account some quantum effects and hence is expected to be applicable to large systems and widely used in chemical stereodynamics studies.

scholarly journals Dynamics Underlying the Gaussian Distribution of the Classical Harmonic Oscillator in Zero-Point Radiation

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Wayne Cheng-Wei Huang ◽  
Herman Batelaan
Keyword(s):  
Probability Distribution ◽  
Harmonic Oscillator ◽  
Uncertainty Relation ◽  
Zero Point ◽  
Simulation Method ◽  
Vacuum Field ◽  
Stochastic Electrodynamics ◽  
Validity Range ◽  
Gaussian Probability Distribution ◽  
Dynamical Information

Stochastic electrodynamics (SED) predicts a Gaussian probability distribution for a classical harmonic oscillator in the vacuum field. This probability distribution is identical to that of the ground state quantum harmonic oscillator. Thus, the Heisenberg minimum uncertainty relation is recovered in SED. To understand the dynamics that give rise to the uncertainty relation and the Gaussian probability distribution, we perform a numerical simulation and follow the motion of the oscillator. The dynamical information obtained through the simulation provides insight to the connection between the classic double-peak probability distribution and the Gaussian probability distribution. A main objective for SED research is to establish to what extent the results of quantum mechanics can be obtained. The present simulation method can be applied to other physical systems, and it may assist in evaluating the validity range of SED.

Quantum Cognition – Quantum Analogy

2021 ◽  
pp. 1-17
Author(s):  
Michael Fortescue
Keyword(s):  
Quantum Mechanics ◽  
Exact Nature ◽  
Quantum Cognition ◽  
Classical Quantum ◽  
Quantum Analogy

Attempts to apply the apparatus of quantum mechanics to cognition and language have met, understandably, with a degree of scepticism within the disciplines concerned, but they nevertheless have the potential for opening exciting new perspectives. In this article, I address the question as to what it is exactly about these attempts that has drawn such attention – both positive and negative – in recent years. I shall argue for distinguishing those aspects of quantum cognition that do warrant serious consideration by cognitive psychologists and linguists irrespective of the exact nature of its relationship to classical quantum mechanics. The key lies in the important role played by analogy in both disciplines.

scholarly journals Information Entropy of Zero-Point Oscillations of a Harmonic Oscillator

2019 ◽  
Vol 4 (2) ◽  
Author(s):  
A.V. Stepanov ◽  
◽  
M.A. Stepanov ◽  
Keyword(s):  
Harmonic Oscillator ◽  
Information Entropy ◽  
Zero Point
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