Dissipation, coherence and entanglement

The study of the damped harmonic oscillator shows that dissipation could be seen at the origin of the zero point energy, which is the signature of quantum behavior. This is in accord with ’t Hooft proposal that loss of information in a completely deterministic dynamics would play a rôle in the quantum mechanical nature of our world. We show the equivalence, within quite general conditions, between the pair of a damped oscillator and its time-reversed image and electrodynamics. The ground state of the damped-amplified oscillator pair appears to be a finite temperature coherent two-mode squeezed state with fractal self-similarity properties and the modes are maximally entangled. Temperature is strictly related to the zero point energy.

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Localization of Positronium in Polymers

Materials Science Forum ◽

10.4028/www.scientific.net/msf.666.67 ◽

2010 ◽

Vol 666 ◽

pp. 67-70

Author(s):

Yoshinori Kobayashi ◽

T. Ichikawa

Keyword(s):

Surface Tension ◽

Driving Force ◽

Zero Point ◽

Light Particle ◽

Quantum Mechanical ◽

Molecular Liquids ◽

Zero Point Energy ◽

Point Energy ◽

Hole Expansion ◽

Large Quantum

A good correlation is found between ortho-positronium (o-Ps) pick-off annihilation lifetimes and surface tensions of molecular liquids and polymers. Systematic shortening of the o-Ps lifetime with increasing surface tension suggests that the hole for Ps localization in polymers may be that subjected to considerable expansion as in liquids. The driving force of this hole expansion is the large quantum mechanical zero-point energy of a light particle confined in an angstrom size space. The hole expansion is insignificant in a larger nm scale pore, where the zero-point energy is much lowered.

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Zero Point Energy

Van Nostrand's Scientific Encyclopedia ◽

10.1002/0471743984.vse7649 ◽

2005 ◽

Keyword(s):

Zero Point ◽

Zero Point Energy ◽

Point Energy

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Zero-point energy of linear triatomic molecules

Journal of the Chemical Society Faraday Transactions 2 Molecular and Chemical Physics ◽

10.1039/f29747000871 ◽

1974 ◽

Vol 70 ◽

pp. 871 ◽

Cited By ~ 2

Author(s):

Jan Bron

Keyword(s):

Zero Point ◽

Zero Point Energy ◽

Point Energy ◽

Triatomic Molecules

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An investigation into the existence of zero-point energy in the Rock-Salt Lattice by an X-Ray Diffraction Method

Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character ◽

10.1098/rspa.1928.0055 ◽

1928 ◽

Vol 118 (779) ◽

pp. 334-350 ◽

Cited By ~ 41

Keyword(s):

Rock Salt ◽

Diffraction Method ◽

Zero Point ◽

Temperature Factor ◽

X Rays ◽

Zero Point Energy ◽

Chlorine Atoms ◽

Point Energy ◽

X Ray ◽

State Of Rest

In the present paper we shall attempt to collate the results of four separate lines of research which, taken together, appear to provide some interesting checks between theory and experiment. The investigations to be considered are (1) the discussion by Waller* and by Wentzel,† on the basis of the quantum (wave) mechanics, of the scattering of radiation by an atom ; (2) the calculation by Hartree of the Schrödinger distribution of charge in the atoms of chlorine and sodium ; (3) the measurements of James and Miss Firth‡ of the scattering power of the sodium and chlorine atoms in the rock-salt crystal for X-rays at a series of temperatures extending as low as the temperature of liquid air ; and (4) the theoretical discussion of the temperature factor of X-ray reflexion by Debye§ and by Waller.∥ Application of the laws of scattering to the distribution of charge calculated for the sodium and chlorine atoms, enables us to calculate the coherent atomic scattering for X-radiation, as a function of the angle of scattering and of the wave-length, for these atoms in a state of rest, assuming that the frequency of the X-radiation is higher than, and not too near the frequency of the K - absorption edge for the atom.¶ From the observed scattering power at the temperature of liquid air, and from the measured value of the temperature factor, we can, by applying the theory of the temperature effect, calculate the scattering power at the absolute zero, or rather for the atom reduced to a state of rest. The extrapolation to a state of rest will differ according to whether we assume the existence or absence of zero point energy in the crystal lattice. Hence we may hope, in the first place to test the agreement between the observed scattering power and that calculated from the atomic model, and in the second place to see whether the experimental results indicate the presence of zero-point energy or no.

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