Inverse Square Law in Spectrally Bounded Quantum Dynamics

Schrödinger dynamics is a nonlocal process. Not only does local perturbation affect instantaneously the entire space, but the effect decays slowly. When the wavefunction is spectrally bounded, the Schrödinger equation can be written as a universal set of ordinary differential equations, with universal coupling between them, which is related to Euler’s formula. Since every variable represents a different local value of the wave equation, the coupling represents the dynamics’ nonlocality. It is shown that the nonlocal coefficient is inversely proportional to the distance between the centers of these local areas. As far as we know, this is the first time that this inverse square law was formulated.

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THE NOTHING THAT REALLY IS!

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v12i1.172 ◽

2016 ◽

Vol 12 (1) ◽

pp. 4172-4177

Author(s):

Abdul Malek

Keyword(s):

Quantum Dynamics ◽

Theoretical Physics ◽

Historical Evolution ◽

Proper Understanding ◽

Physical Universe ◽

Wave Particle Duality ◽

Negative Effect ◽

Materialist Interpretation

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.Â This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1).Â A dialectical materialist approach incorporatingÂ the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics andÂ may ameliorate Â the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).

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Classical and Quantum Dynamics

10.1007/978-3-642-97465-6 ◽

1994 ◽

Cited By ~ 20

Author(s):

Walter Dittrich ◽

Martin Reuter

Keyword(s):

Quantum Dynamics

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Faculty Opinions recommendation of Quantum dynamics of hydride transfer catalyzed by bimetallic electrophilic catalysis: synchronous motion of Mg(2+) and H(-) in xylose isomerase.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.1007975.100509 ◽

2002 ◽

Author(s):

Mark Nelson

Keyword(s):

Quantum Dynamics ◽

Hydride Transfer ◽

Xylose Isomerase ◽

Synchronous Motion

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The Quantum Dynamics of an Excess Proton in Water.

10.21236/ada300430 ◽

1995 ◽

Author(s):

J. Lobaugh ◽

Gregory A. Voth

Keyword(s):

Quantum Dynamics

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Quantum Resonances: Line Profiles and Dynamics

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc20030529 ◽

2003 ◽

Vol 68 (3) ◽

pp. 529-553 ◽

Cited By ~ 3

Author(s):

Ivana Paidarová ◽

Philippe Durand

Keyword(s):

Hydrogen Atom ◽

Operator Theory ◽

Quantum Dynamics ◽

Line Profiles ◽

Static Electric Field ◽

Reversal Effect ◽

Quantum Resonances ◽

Energy Dependent ◽

Effective Hamiltonians

The wave operator theory of quantum dynamics is reviewed and applied to the study of line profiles and to the determination of the dynamics of interacting resonances. Energy-dependent and energy-independent effective Hamiltonians are investigated. The q-reversal effect in spectroscopy is interpreted in terms of interfering Fano profiles. The dynamics of an hydrogen atom subjected to a strong static electric field is revisited.

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Geometry and Quantum Dynamics

10.1093/oso/9780198788393.003.0014 ◽

2017 ◽

Author(s):

Laurent Baulieu ◽

John Iliopoulos ◽

Roland Sénéor

Keyword(s):

General Relativity ◽

Quantum Dynamics ◽

Gauge Theories ◽

Brst Symmetry ◽

Abelian Gauge ◽

Yang Mills ◽

History Of ◽

Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

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Newtonian Gravity

10.1093/oso/9780199658633.003.0016 ◽

2018 ◽

Author(s):

David M. Wittman

Keyword(s):

Surface Gravity ◽

Newtonian Gravity ◽

Acceleration Field ◽

Source Mass ◽

Inverse Square Law ◽

Average Acceleration ◽

Law Of Gravity ◽

Tidal Acceleration

Having developed a framework for subsuming gravity into relativity, we examine how gravity behaves as a function of the source mass (Earth, Sun, etc.) and distance from that sourcemass.We develop Newton’s inverse‐square law of gravity, and we examine the consequences in terms of acceleration fields, potentials, escape velocities, and surface gravity. Chapter 17 will build on these ideas to show how orbits are used to probe gravity throughout the universe.We also develop a tool for exposing variations in the acceleration field: the tidal acceleration field in any region is defined as the acceleration field in that region minus the average acceleration. This enables us to restate Newton’s lawof gravity as: the acceleration arrows surrounding any point show a net convergence that is proportional to the density of mass at that point. Chapter 18 will use this to develop a frame‐independent law of gravity.

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