Generalized momentum equation of quantum mechanics

@article{Wang2016GeneralizedME,
  title={Generalized momentum equation of quantum mechanics},
  author={Zhong-yue Wang},
  journal={Optical and Quantum Electronics},
  year={2016},
  volume={48},
  pages={1-9}
}
Like the Planck–Einstein relation E = ℏω, de Broglie’s $$ {\mathbf{p}} = \hbar {\mathbf{k}} $$p=ħk is another fundamental equation but the universal momentum formulation should be $$ {\mathbf{p}} = \hbar {\varvec{\upbeta}} $$p=ħβ. We propose the compelling evidence (vacuum Cherenkov radiation) and a new consequence which could lead to experimental checks is also worked out. 
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References

SHOWING 1-10 OF 22 REFERENCES
A Quantum Theory of the Scattering of X-rays by Light Elements
A quantum theory of the scattering of X-rays and $\ensuremath{\gamma}$-rays by light elements.---The hypothesis is suggested that when an X-ray quantum is scattered it spends all of its energy and… Expand
Wave–particle duality of C60 molecules
TLDR
The observation of de Broglie wave interference of C60 molecules by diffraction at a material absorption grating is reported, which is the most massive and complex object in which wave behaviour has been observed. Expand
Self-adjoint extensions of operators and the teaching of quantum mechanics
For the example of the infinite well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint… Expand
Momentum Probabilities for a Single Quantum Particle in Three-Dimensional Regular ‘Infinite’ Wells: One Way of Promoting Understanding of Probability Densities
Students often wrestle unsuccessfully with the task of correctly calculating momentum probability densities and have difficulty in understanding their interpretation. In the case of a particle inside… Expand
Quantum interference of large organic molecules
TLDR
It is shown that even complex systems, with more than 1,000 internal degrees of freedom, can be prepared in quantum states that are sufficiently well isolated from their environment to avoid decoherence and to show almost perfect coherence. Expand
Self-adjointness of momentum operators in generalized coordinates
The aim of this paper is to contribute to the clarification of concepts usually found in books on quantum mechanics, aided by knowledge from the field of the theory of operators in Hilbert space.… Expand
Matter-wave interference of particles selected from a molecular library with masses exceeding 10,000 amu.
TLDR
It is demonstrated how synthetic chemistry allows us to prepare libraries of fluorous porphyrins which can be tailored to exhibit high mass, good thermal stability and relatively low polarizability, which allows for successful superposition experiments with selected species from these molecular libraries in a quantum interferometer, which utilizes the diffraction of matter-waves at an optical phase grating. Expand
Observation of Gravitationally Induced Quantum Interference
We have used a neutron interferometer to observe the quantum-mechanical phase shift of neutrons caused by their interaction with Earth's gravitational field.
Modern Theory for Electromagnetic Metamaterials
The pressure of radiation in double-negative materials (DNG) with simultaneously negative permittivity εeff and permeability μeff predicted by Veselago in the 1960s is less than zero. Another object… Expand
Classical Electrodynamics
Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.
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