Abstract
Quantum theory with conjecture of fractional charge quantization, eigenfunctions for fractional charge quantization, fractional Fourier transform, Hermite function for fractional charge quantization, and eigenfunction for a twisted and twigged electron quanta is developed and applied to resistivity, dielectricity, giant magneto resistance, Hall effect and conductance. Our theoretical relationship for quantum measurements is in good conformity and in agreement with most of the experimental results. These relationships will pave a new approach to quantum physics for deciphering measurements on single quantum particles without destroying them. Our results are in agreement with 2012 Physics Nobel Prize winning Scientists, Serge Haroche and David J. Wineland.
Highlights
Experimental results in quantum physics since last three decades brought significant changes in our understanding
We studied American Institute of Physics (AIP) reports of 2012 prize winning award and all relevant research papers [13]-[21]
The megnetoresistance in quantum Hall effect should depend on magnetic field when an electron is fractionally quantized with twisting and twigging of an electron quanta
Summary
Experimental results in quantum physics since last three decades brought significant changes in our understanding. The discovery of quantum Hall effect in heteorostructure semiconductors results in the Nobel Prize winning award for the year 1987 to Von Klitzing [1]. With this discovery, the experimental results of quantum. New experimental results on giant magneto resistance (GMR) to enhance storage capacity with charges are reported This discovery of GMR led Albert Peter and Paul Gruebber to win the Nobel Prize for the year 2007 [9]. We witnessed again new exciting experimental results on individual quantum systems which led the Nobel Prize winning award in physics by Serge Haroche and David J. The eigenfunction for an electron quantum wire or string with sub-quanta (twigs) on its lateral surface at different locations namely above its surface, at the surface and within the sub-quanta and the electron string with beaded fractional quantized states for the fractional charges are determined [23]
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