Uncertainty Principle of Complex-Valued Functions in Specific Free Metaplectic Transformation Domains

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Zhichao Zhang
Optik ◽  
2021 ◽  
pp. 167052
Author(s):  
Zhi-Chao Zhang ◽  
Pu-Yu Han ◽  
Yun Sun ◽  
An-Yang Wu ◽  
Xi-Ya Shi ◽  
...  

Nature ◽  
2001 ◽  
Author(s):  
Corie Lok

2011 ◽  
Vol 131 (1) ◽  
pp. 2-8
Author(s):  
Akira Hirose

Author(s):  
Othmane-Latif Ouabi ◽  
Radmila Pribic ◽  
Sorin Olaru

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.


2019 ◽  
Author(s):  
Matheus Pereira Lobo

This article addresses the connection of the UNCERTAINTY PRINCIPLE with the WIGNER FUNCTION.


2019 ◽  
Author(s):  
Vitaly Kuyukov

The uncertainty principle between the Hubble parameter and the volume of space.


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