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Alternative Approach to Time Evaluation of Schrödinger Wave
Alternative Approach to Time Evaluation of Schrödinger Wave

Quantum spin liquids
Quantum spin liquids

Natural Systems of Units
Natural Systems of Units

From Parallel Electric and Magnetic Fields
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... It is important to realize that this mapping to a classical system transforms the FermiDirac statistics of the quantum-mechanical state at zero temperature to a classical Boltzmann system at temperature 1/(kB T ) = 2m. The Pauli principle, which hinders two electrons to occupy the same state, is enc ...
Subtle is the Gravity - The Institute of Mathematical Sciences
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... linkage to gravity (gravitational charge). The only one universal parameter available is mass (energy) for all particles. Thus the measure of inertia and gravitational charge must be the same, which would mean all particles irrespective of their mass, shape and substance would fall with the same acc ...
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On The Copenhagen Interpretation of Quantum Mechanics
On The Copenhagen Interpretation of Quantum Mechanics

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two electron energy sprectrum in concentrical quantum ribbons

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Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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