Remarks on Dr. Ma's "Redundant Zeros in the Discrete Energy Spectra in Heisenberg's Theory of Characteristic Matrix"

1946 ◽  
Vol 70 (9-10) ◽  
pp. 772-772 ◽  
Author(s):  
W. Opechowski
Keyword(s):  
Energy Spectra ◽  
Characteristic Matrix ◽  
Discrete Energy

scholarly journals TIME AS A QUANTUM OBSERVABLE

2007 ◽  
Vol 22 (28) ◽  
pp. 5063-5087 ◽  
Author(s):  
V. S. OLKHOVSKY ◽  
E. RECAMI
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Physics ◽  
Adjoint Operator ◽  
Energy Spectra ◽  
Discrete Energy ◽  
Nuclear Collisions ◽  
Quantum Analysis ◽  
Recent Developments ◽  
Time Quantum ◽  
Nonrelativistic Quantum Mechanics

Some new results are presented and recent developments are reviewed on the study of Time in quantum physics as an observable, canonically conjugate to energy. Operators for the observable Time are investigated in particle and photon quantum theory. In particular, this paper deals with the Hermitian (more precisely, maximal Hermitian, but non-self-adjoint) operator for Time which appears: (i) for particles, in ordinary nonrelativistic quantum mechanics; and (ii) for photons (i.e. in first-quantization quantum electrodynamics). In conclusion, various recent and possible future applications of the time quantum analysis for tunnelling processes, nuclear collisions and systems with (quasi)discrete energy spectra are indicated.

The time evolution of quantum systems with discrete energy spectra

1986 ◽  
Vol 64 (11) ◽  
pp. 1546-1550 ◽  
Author(s):  
A. I. Lupaşcu ◽  
I. M. Popescu
Keyword(s):  
Time Evolution ◽  
Quantum Systems ◽  
The State ◽  
Energy Spectra ◽  
Matrix Functions ◽  
Level Crossing ◽  
Discrete Energy ◽  
Nonexponential Decay

Using the method of matrix functions, we describe the time evolution of quantum systems with discrete energy spectra. The time evolution of the state vectors and expressions for the perturbed eigenfunctions and their associated projectors are obtained for an atom with n discrete levels. The particular cases n = 2 and n = 3 are presented; level crossing and nonexponential decay of coupled states are emphasized.

Degenerate discrete energy spectra and associated coherent states

2007 ◽  
Vol 48 (1) ◽  
pp. 012110 ◽  
Author(s):  
L. Dello Sbarba ◽  
V. Hussin
Keyword(s):  
Coherent States ◽  
Energy Spectra ◽  
Discrete Energy

scholarly journals Collective Electron-Positron Annihilation

1992 ◽  
Vol 128 ◽  
pp. 117-122
Author(s):  
A. A. Belyanin ◽  
V. V. Kocharovskii ◽  
Vl. V. Kocharovskii
Keyword(s):  
Positron Annihilation ◽  
Coherent Radiation ◽  
Energy Spectra ◽  
Relaxation Rates ◽  
Collisional Relaxation ◽  
Discrete Energy ◽  
Electron Positron Annihilation ◽  
Electron Positron

AbstractThe phenomenon of collective spontaneous annihilation of a magnetized electron-positron plasma is predicted. Like the superradiance in systems with discrete energy spectra, collective annihilation leads to the generation of powerful coherent radiation with the rate of this process considerably exceeding the spontaneous annihilation and collisional relaxation rates.

scholarly journals Time as a Quantum Observable, Canonically Conjugated to Energy, and Foundations of Self-Consistent Time Analysis of Quantum Processes

2009 ◽  
Vol 2009 ◽  
pp. 1-83 ◽  
Author(s):  
V. S. Olkhovsky
Keyword(s):  
Quantum Mechanics ◽  
Quantum Electrodynamics ◽  
Adjoint Operator ◽  
Time Operator ◽  
Energy Spectra ◽  
Time Analysis ◽  
Quantum Processes ◽  
Discrete Energy ◽  
Quantum Observable ◽  
Over Time

Recent developments are reviewed and some new results are presented in the study oftimein quantum mechanics and quantum electrodynamics as an observable, canonically conjugate toenergy. This paper deals with the maximal Hermitian (but nonself-adjoint) operator for time which appears in nonrelativistic quantum mechanics and in quantum electrodynamics for systems with continuous energy spectra and also, briefly, with the four-momentum and four-position operators, for relativistic spin-zero particles. Two measures of averaging over time and connection between them are analyzed. The results of the study of time as a quantum observable in the cases of the discrete energy spectra are also presented, and in this case the quasi-self-adjoint time operator appears. Then, the general foundations of time analysis of quantum processes (collisions and decays) are developed on the base of time operator with the proper measures of averaging over time. Finally, some applications of time analysis of quantum processes (concretely, tunneling phenomena and nuclear processes) are reviewed.

Model and Method for Contributor’s Quality Assessment in Community Image Tagging Systems

2018 ◽  
pp. 45-51
Author(s):  
A. V. Ponomarev
Keyword(s):  
Large Scale ◽  
Wide Spectrum ◽  
Preference Relation ◽  
Pairwise Comparison ◽  
Ground Truth ◽  
Comparison Method ◽  
Characteristic Matrix ◽  
Image Tagging ◽  
Proposed Model

Introduction: Large-scale human-computer systems involving people of various skills and motivation into the information processing process are currently used in a wide spectrum of applications. An acute problem in such systems is assessing the expected quality of each contributor; for example, in order to penalize incompetent or inaccurate ones and to promote diligent ones.Purpose: To develop a method of assessing the expected contributor’s quality in community tagging systems. This method should only use generally unreliable and incomplete information provided by contributors (with ground truth tags unknown).Results:A mathematical model is proposed for community image tagging (including the model of a contributor), along with a method of assessing the expected contributor’s quality. The method is based on comparing tag sets provided by different contributors for the same images, being a modification of pairwise comparison method with preference relation replaced by a special domination characteristic. Expected contributors’ quality is evaluated as a positive eigenvector of a pairwise domination characteristic matrix. Community tagging simulation has confirmed that the proposed method allows you to adequately estimate the expected quality of community tagging system contributors (provided that the contributors' behavior fits the proposed model).Practical relevance: The obtained results can be used in the development of systems based on coordinated efforts of community (primarily, community tagging systems). 

Sign in / Sign up

Export Citation Format

Share Document