# 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}
}
• Zhong-Yue Wang
• Published 19 January 2016
• Physics
• Optical and Quantum Electronics
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.
1 Citations

## 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
Self-adjoint extensions of operators and the teaching of quantum mechanics
• Physics, Mathematics
• 2001
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
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
Quantum interference of large organic molecules
• Physics
Nature communications
• 2011
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.
Self-adjointness of momentum operators in generalized coordinates
• Mathematics
• 1984
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.
Matter-wave interference of particles selected from a molecular library with masses exceeding 10,000 amu.
• Physics
Physical chemistry chemical physics : PCCP
• 2013
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.
Observation of Gravitationally Induced Quantum Interference
• Physics, Geology
• 1975
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
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.
Finite-size effects of hadron masses in lattice QCD: A comparative study for quenched and full QCD simulations.
• Aoki
• Physics
Physical review. D, Particles and fields
• 1994
It is found that finite-size effects for quenched QCD are much smaller than those for full QCD, when hadron masses for the two cases are compared at the same physical lattice size and lattice spacing.