Decay probability distribution of quantum-mechanical unstable systems and time operator

2008 ◽  
Vol 387 (10) ◽  
pp. 2205-2224 ◽  
Author(s):  
M. Courbage ◽  
S.M. Saberi Fathi
Keyword(s):  
Probability Distribution ◽  
Time Operator ◽  
Quantum Mechanical ◽  
Unstable Systems ◽  
Decay Probability

Analysis of quantum-mechanical states of the ring-shaped Mie-type diatomic molecular model via the Fisher's information

2015 ◽  
Vol 14 (05) ◽  
pp. 1550036 ◽  
Author(s):  
B. J. Falaye ◽  
K. J. Oyewumi ◽  
F. Sadikoglu ◽  
M. Hamzavi ◽  
S. M. Ikhdair
Keyword(s):  
Probability Distribution ◽  
Molecular Model ◽  
Quantum Mechanical ◽  
Information Measures ◽  
Quantum Numbers ◽  
Technological Developments ◽  
Quantum Mechanical Systems ◽  
Insight Into ◽  
Type Potential ◽  
Fisher's Information

Recently, the information theory of quantum-mechanical systems has aroused the interest of many theoretical physicists. This is due to the fact that it provides a deeper insight into the internal structure of the system. Also, it is the strongest support of the modern quantum computation and information, which is a basic theory for numerous technological developments. This study reports the solution of Schrödinger equation with the ring-shaped Mie-type potential. The rotational-vibrational spectroscopic study of some few selected diatomic molecules are given. The probability distribution density of the system which gives the probability density for observing the electron in the state characterized by the quantum numbers (n, l, m) in the ring-shaped Mie-type potential is obtained. Finally, the analysis for this distribution via a complementary information measures of a probability distribution known as the Fisher's information have been presented.

scholarly journals CORRELATIONS OF DECAY TIMES OF ENTANGLED COMPOSITE UNSTABLE SYSTEMS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345015 ◽  
Author(s):  
THOMAS DURT
Keyword(s):  
Quantum Theory ◽  
Statistical Distribution ◽  
Time Operator ◽  
Unstable Systems ◽  
Unstable Particles ◽  
Decay Times ◽  
The Subject ◽  
Crucial Experiments

The role played by time in the quantum theory is still mysterious by many aspects. In particular it is not clear today whether the distribution of decay times of unstable particles could be described by a time operator (TO). As we shall discuss, different approaches to this problem (one could say interpretations) can be found in the literature on the subject. As we shall show, it is possible to conceive crucial experiments aimed at distinguishing the different approaches, by measuring with accuracy the statistical distribution of decay times of entangled particles. Such experiments can be realized in principle with entangled kaon pairs.

scholarly journals A Classical Interpretation of the Scrooge Distribution

Entropy ◽  
2018 ◽  
Vol 20 (8) ◽  
pp. 619 ◽  
Author(s):  
William Wootters
Keyword(s):  
Probability Theory ◽  
Quantum Mechanics ◽  
Probability Distribution ◽  
Density Matrix ◽  
Pure State ◽  
Quantum Mechanical ◽  
Classical Probability ◽  
Pure States ◽  
Probability Simplex ◽  
Shed Light

The Scrooge distribution is a probability distribution over the set of pure states of a quantum system. Specifically, it is the distribution that, upon measurement, gives up the least information about the identity of the pure state compared with all other distributions that have the same density matrix. The Scrooge distribution has normally been regarded as a purely quantum mechanical concept with no natural classical interpretation. In this paper, we offer a classical interpretation of the Scrooge distribution viewed as a probability distribution over the probability simplex. We begin by considering a real-amplitude version of the Scrooge distribution for which we find that there is a non-trivial but natural classical interpretation. The transition to the complex-amplitude case requires a step that is not particularly natural but that may shed light on the relation between quantum mechanics and classical probability theory.

scholarly journals Spectral Analysis of Chinese Medicinal Herbs Based on Delayed Luminescence

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Jingxiang Pang ◽  
Xiaoyan Zhu ◽  
Yanli Liu ◽  
Jialei Fu ◽  
Xiaolei Zhao ◽  
...  
Keyword(s):  
Chinese Medicine ◽  
Probability Distribution ◽  
Spectral Distribution ◽  
Medicinal Herbs ◽  
Therapeutic Effects ◽  
Chinese Medicinal Herbs ◽  
Delayed Luminescence ◽  
Decay Probability ◽  
Chinese Herbal ◽  
Significant Difference

Traditional Chinese medicine (TCM) plays a critical role in healthcare; however, it lacks scientific evidence to support the multidimensional therapeutic effects. These effects are based on experience, and, to date, there is no advanced tool to evaluate these experience based effects. In the current study, Chinese herbal materials classified with different cold and heat therapeutic properties, based on Chinese medicine principles, were investigated using spectral distribution, as well as the decay probability distribution based on delayed luminescence (DL). A detection system based on ultraweak biophoton emission was developed to determine the DL decay kinetics of the cold and heat properties of Chinese herbal materials. We constructed a mathematical model to fit the experimental data and characterize the properties of Chinese medicinal herbs with different parameters. The results demonstrated that this method has good reproducibility. Moreover, there is a significant difference (p<0.05) in the spectral distribution and the decay probability distribution of Chinese herbal materials with cold and heat properties. This approach takes advantage of the comprehensive nature of DL compared with more reductionist approaches and is more consistent with TCM principles, in which the core comprises holistic views.

Onsagerian Quantum Mechanics

2016 ◽  
pp. 3353-3373
Author(s):  
G. Vincze ◽  
A. Szasz
Keyword(s):  
Distribution Function ◽  
Quantum Mechanics ◽  
Energy Dissipation ◽  
Probability Distribution ◽  
Probability Distribution Function ◽  
Hamiltonian Formalism ◽  
Quantum Mechanical ◽  
Basic Principles ◽  
Characteristic Values

We describe the basic quantum-mechanical categories and properties of the thermodynamical basis of Onsager’s theorem. 3 basic principles are used: 1. energy dissipation; 2. Hamiltonian formalism; 3. Onsager’s linearity. We obtain the 2 characteristic values of the observables, their main-value and the deviation, the first and second momentums of the probability distribution function, which we also derived also from the same principles. 

scholarly journals Quantum mechanical phase and time operator

1964 ◽  
Vol 1 (1) ◽  
pp. 49-61 ◽  
Author(s):  
Leonard Susskind ◽  
Jonathan Glogower
Keyword(s):  
Time Operator ◽  
Quantum Mechanical

scholarly journals SPACE–TIME EVOLUTION OF THE OSCILLATOR, RAPIDLY MOVING IN A RANDOM MEDIA

2004 ◽  
Vol 19 (03) ◽  
pp. 411-441
Author(s):  
B. BLOK
Keyword(s):  
Probability Distribution ◽  
Time Evolution ◽  
Random Vector ◽  
Random Media ◽  
Vector Fields ◽  
Energy Levels ◽  
Quantum Mechanical ◽  
Mechanical Evolution ◽  
The Media ◽  
Space Time Evolution

We study the quantum-mechanical evolution of the nonrelativistic oscillator, rapidly moving in the media with the random vector fields. We calculate the evolution of the level probability distribution as a function of time, and obtain rapid level diffusion over the energy levels. Our results imply a new mechanism of charmonium dissociation in QCD media.

Sign in / Sign up

Export Citation Format

Share Document