scholarly journals Symmetries of harmonic oscillator generating the zero-point and negative energies

2006 ◽  
pp. 1-10
Author(s):  
Zahid Zakir
Keyword(s):  
Harmonic Oscillator ◽  
Zero Point

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.

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

scholarly journals Statistical consequences of the zero-point energy of the harmonic oscillator

2008 ◽  
Vol 76 (10) ◽  
pp. 947-955 ◽  
Author(s):  
Luis de la Peña ◽  
Andrea Valdés-Hernández ◽  
Ana María Cetto
Keyword(s):  
Harmonic Oscillator ◽  
Zero Point ◽  
Zero Point Energy ◽  
Point Energy
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