Demonstration of hydrogen sensing operation of AlGaN/GaN HEMT gas sensors in extreme environment
| Autor: | Qiang Liu, S. Dai, Zhiwei Li, J. C. Ye, S. Q. Kuang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
010302 applied physics
Physics Measurement in quantum mechanics Mathematical analysis Position operator General Physics and Astronomy Dirac delta function 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences lcsh:QC1-999 symbols.namesake Position (vector) 0103 physical sciences symbols Double-slit experiment 0210 nano-technology Ground state Wave function Rectangular function lcsh:Physics |
| Zdroj: | Results in Physics, Vol 12, Iss, Pp 83-84 (2019) |
| ISSN: | 2211-3797 |
| Popis: | The Dirac delta function can be defined by the limitation of the rectangular function covering a unit area with decrease of the width of the rectangle to zero, and in quantum mechanics the eigenvectors of the position operator take the form of the delta function. When discussing the position measurement in quantum mechanics, one is prompted by the mathematical convention that uses the rectangular wave function of sufficiently narrow width to approximate the delta function in order to making the state of the position physical. We argue that such an approximation is improper in physics, because during the position measurement the energy transfer to the particle might be infinitely large. The continuous and square-integrable functions of both sharp peak and sufficiently narrow width can then be better approximations of the delta function to represent the physical states of position. When the slit experiment is taken as an apparatus of position measurement, no matter what potential is used to model the slit, only the ground state of the slit-dependent wave function matters. |
| Databáze: | OpenAIRE |
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