scholarly journals Effects of quantum mechanical identity in particle scattering: experimental observations (and lack thereof)

2021 ◽  
pp. 1-24
Author(s):  
Niels Kjærgaard
Keyword(s):  
Quantum Mechanical ◽  
Particle Scattering

scholarly journals Remarks on the anomalous scattering of α-particles from the quantum mechanical point of view

1930 ◽  
Vol 127 (806) ◽  
pp. 671-677 ◽  
Keyword(s):  
Cross Section ◽  
Point Of View ◽  
Light Nuclei ◽  
Fourth Power ◽  
Quantum Mechanical ◽  
Anomalous Scattering ◽  
Particle Scattering ◽  
Scattering Angle ◽  
Coulomb Law ◽  
Α Particles

1. It has been established experimentally by Bieler and Rutherford and Chadwick that α-particle scattering by light nuclei does not obey the Rutherford formula if the velocity of the incident particles be sufficiently large (of the order 2 × 10 9 cm. per second). Bieler showed that the scattering becomes less than the classical value for moderate angles (up to 70° scattering angle), while Rutherford and Chadwick found that it increases again for 135° scattering angle. It is at once obvious that these results indicate a departure from the Coulomb law of force, and various laws have been invoked to explain the devia­tions. Thus Bieler showed how the inverse fourth power law was capable of explaining his results, and he found the radius of the neutral surface of the nucleus to be 3⋅44 × 10 -13 cm. Hardmeier used an inverse fifth power polarisation law and was able to explain the increase again at high velocities. However it is desirable to consider the validity of these calculations from the standpoint of the new mechanics. 2. Dimensional Considerations .—Consider scattering by a centre of force exerting a potential F r -n . This scattering will depend not only on the mass m , and velocity v of the incident particles, and on F, but also on Planck’s constant h . The possible dependence on h is not taken into account in any of the above attempts to explain anomalous scattering. Put the scattering cross section proportional to h s v t m u F w .

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

Optical and Electrical Properties of Organic Conducting Polymers

2014 ◽  
Vol 8 (1) ◽  
pp. 1457-1463
Author(s):  
Salah Abdulla Hasoon
Keyword(s):  
Electrical Properties ◽  
Conjugated Polymer ◽  
Polymeric Materials ◽  
Quantum Mechanical ◽  
Optical And Electrical Properties ◽  
Electrically Conducting ◽  
Temperature Ranges ◽  
Lithium Tetrafluoroborate ◽  
Absorbance Peak ◽  
Polymerization Method

Novel electrically conducting polymeric materials are prepared in this work. Polythiophene (PT) and poly (3-Methelthiophene) (P3MT) films were prepared by electro-polymerization method using cyclic voltammetry in acetonitrile as a solvent and lithium tetrafluoroborate as the electrolyte on a gold electrode. Electrical properties of P3MT have been examined in different environments using UV-Vis absorption spectroscopy and quantum mechanical ab initio calculations, The observed absorption peaks at 314 and 415 nm, were attributed to the n-π* and π-π* transitions, respectively in the conjugated polymer chain, in contrast, the observed absorbance peak at 649 nm, is responsible for electric conduction. The temperature dependence of the conductivity can be fitted to the Arrhenius and the VTF equations in different temperature ranges.

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