scholarly journals The uncertainty relations and minimum uncertainty states

2003 ◽  
Vol 52 (12) ◽  
pp. 2961
Author(s):  
Deng Wen-Ji ◽  
Xu Yun-Hua ◽  
Liu Ping
Keyword(s):  
Uncertainty Relations ◽  
Minimum Uncertainty

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

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.

scholarly journals Universal quantum uncertainty relations: Minimum-uncertainty wave packet depends on measure of spread

2019 ◽  
Vol 383 (16) ◽  
pp. 1850-1855
Author(s):  
Anindita Bera ◽  
Debmalya Das ◽  
Aditi Sen(De) ◽  
Ujjwal Sen
Keyword(s):  
Wave Packet ◽  
Uncertainty Relations ◽  
Quantum Uncertainty ◽  
Universal Quantum ◽  
Minimum Uncertainty

UNCERTAINTY RELATIONS FOR A DEFORMED OSCILLATOR

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1851-1859 ◽  
Author(s):  
JOSÉ RÉCAMIER ◽  
W. LUIS MOCHÁN ◽  
MARÍA GORAYEB ◽  
JOSÉ L. PAZ ◽  
ROCÍO JÁUREGUI
Keyword(s):  
Coherent States ◽  
Morse Potential ◽  
Temporal Evolution ◽  
Energy Spectra ◽  
Uncertainty Relations ◽  
Morse Oscillator ◽  
Algebraic Representation ◽  
Creation And Annihilation Operators ◽  
Deformed Oscillator ◽  
Minimum Uncertainty

We construct a deformed oscillator whose energy spectra is similar to that of a Morse potential. We obtain a convenient algebraic representation of the displacement and the momentum of a Morse oscillator by expanding them in terms of deformed creation and annihilation operators and we compute their average values between approximate coherent states of the deformed oscillator, and we compare them to the results obtained using the exact Morse coordinate and momenta. Finally we evaluate the temporal evolution of the dispersion (Δx)(Δp) and show that these states are not minimum uncertainty states.

Minimum uncertainty relations on a finite interval

1996 ◽  
Vol 13 (7) ◽  
pp. 1407
Author(s):  
Darryl J. Sanchez ◽  
Robert W. Conley ◽  
J. K. McIver
Keyword(s):  
Finite Interval ◽  
Uncertainty Relations ◽  
Minimum Uncertainty

Identical Particles and Second Quantization: Occupation Number Representation

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Occupation Number ◽  
Annihilation Operator ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Number Representation ◽  
Second Quantization ◽  
Identical Particles ◽  
Fundamental Properties ◽  
Minimum Uncertainty ◽  
Creation Operators

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.

scholarly journals Sum Uncertainty Relations: Uncertainty Regions for Qubits and Qutrits

2021 ◽  
Author(s):  
Seeta Vasudevrao ◽  
I. Reena ◽  
A. R. Usha Devi ◽  
Sudha ◽  
A. K. Rajagopal
Keyword(s):  
Uncertainty Relations

scholarly journals Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Stephan Sponar ◽  
Armin Danner ◽  
Vito Pecile ◽  
Nico Einsidler ◽  
Bülent Demirel ◽  
...  
Keyword(s):  
Experimental Test ◽  
Uncertainty Relations ◽  
Noise Disturbance
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