New s-parametrized quasiprobability distribution for fermion system and its application on fermion-counting

2014 ◽  
Vol 29 (05) ◽  
pp. 1450022
Author(s):  
Ye-Jun Xu ◽  
Hong-Chun Yuan ◽  
Xian-Cai Wang ◽  
Xue-Fen Xu
Keyword(s):  
Density Operator ◽  
The Other ◽  
Fermion System ◽  
Expansion Formula ◽  
Operator Expansion ◽  
Counting Formula ◽  
Multi Mode ◽  
Quasiprobability Distributions ◽  
Quasiprobability Distribution

Based on the fermion operators' s-ordered rule, we introduce a new kind of s-ordered quasiprobability distributions [Formula: see text], which is defined by the supertrace different from the other definition introduced by Cahill and Glauber [Phys. Rev. A59, 1538 (1999)]. We further obtain the s-parametrized operator expansion formula of fermion density operator for multi-mode case. At last, we apply it to deriving new multi-mode fermion-counting formula, which would be convenient to calculate the probability of counting n fermions.

New compact quad-passband bandpass filter based on multi-layer substrate technique

2014 ◽  
Vol 7 (6) ◽  
pp. 679-683
Author(s):  
Hung-Wei Wu ◽  
Shih-Hua Huang
Keyword(s):  
Bandpass Filter ◽  
Cross Coupling ◽  
Bottom Layer ◽  
The Other ◽  
Input Output ◽  
Coupling Effects ◽  
Layered Substrate ◽  
Stepped Impedance Resonator ◽  
Multi Mode

A new compact quad-passband bandpass filter (BPF) using multi-mode resonators (MMRs) based on multi-layered substrate technique is proposed. The filter consists of a pair of multi-mode resonators (uniform impedance resonator and stepped impedance resonator) operated at 1.8/3.7 GHz on top layer and the other pair of the multi-mode resonators operated at 2.4/3 GHz on bottom layer. Source–load coupling lines are used to be the input/output (I/O) ports for providing the multi-paths propagations by cross-coupling effects in the filter. Specifically, the operated frequencies of the filter at 1.8/2.4/3/3.7 GHz with bandwidths of 6.7, 8.2, 4.6, and 7.2% are successfully designed and implemented. The proposed filter is useful for the multi-passband filters design, especially when the passbands are needed to be very close.

QUANTIZATION SCHEME FOR FERMIONIC SYSTEM AND s-ORDERED OPERATOR EXPANSION FORMULA OF FERMIONIC DENSITY OPERATORS

2011 ◽  
Vol 26 (11) ◽  
pp. 833-842 ◽  
Author(s):  
YE-JUN XU ◽  
JUN SONG ◽  
HONG-CHUN YUAN ◽  
HONG-YI FAN ◽  
QIU-YU LIU
Keyword(s):  
Coherent State ◽  
Quantization Scheme ◽  
Expansion Formula ◽  
Wigner Operator ◽  
Fermionic System ◽  
Operator Expansion ◽  
Density Operators ◽  
S Parameter ◽  
Classical Correspondence ◽  
One To One

We introduce the generalized fermionic Wigner operator with an s parameter. Based on its remarkable properties, we establish one-to-one mapping between fermion operators and their s-parametrized pseudo-classical correspondence, which may involve fermionic Weyl pseudo-classical correspondence, P-representation and Q-representation in a unified way. Furthermore, starting with the projector of the fermionic coherent state, we obtain the s-ordered operator expansion formula of fermionic density operators, which includes normally ordered, antinormally ordered and Weyl ordered product of operators for different values of s. Applications in calculating some Fermi operators' s-ordered expansions are presented.

An innovative four-layer heuristic for scheduling multi-mode projects under multiple resource constrains

2019 ◽  
Vol 53 (4) ◽  
pp. 1309-1330
Author(s):  
Reza Zamani
Keyword(s):  
Resource Constraints ◽  
Solution Space ◽  
Sampling Technique ◽  
Search Space ◽  
The Other ◽  
Evolutionary Search ◽  
Search Mechanism ◽  
The One ◽  
Multiple Resource ◽  
Multi Mode

In this paper, an innovative four-layer heuristic is presented for scheduling multi-mode projects under multiple resource constraints. For this purpose, a biased-random sampling technique, a local search, a decomposition method, and an evolutionary search mechanism, each in a separate layer, are combined, with each layer passing its output to the next layer for improvement. The procedure has been designed based on the fact that what makes the scheduling of multi-mode projects hard to solve is a massive search space of modes compounded with the starting times of activities. That is why the procedure is aimed at balancing exploration versus exploitation in searching a massive search space. On the one hand, it exploits promising areas further and, on the other hand, it searches unexplored areas for expanding its range. Since the first layer provides an initial solution, and each of the other three layers can either improve the result of its previous layer or keep it unchanged, solutions never deteriorate and hence promising areas are exploited. Moreover, unexplored areas are searched effectively because each layer explores solution space differently than its previous layer. Based on whether or not an improvement each layer can make to the result of its previous layer, the effect of the corresponding layer on the performance of the procedure has been measured.

scholarly journals PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY

2003 ◽  
Vol 18 (04) ◽  
pp. 607-625 ◽  
Author(s):  
MITSUO ABE ◽  
KATSUNORI KAWAMURA
Keyword(s):  
String Theory ◽  
Zero Mode ◽  
The Other ◽  
Vector Spaces ◽  
Permutation Representation ◽  
Cuntz Algebra ◽  
Indefinite Metric ◽  
Two Dimensional ◽  
Fermion System ◽  
Dimensional Representation

Representation of the algebra of FP (anti)ghosts in string theory is studied by generalizing the recursive fermion system in the Cuntz algebra constructed previously. For that purpose, the pseudo-Cuntz algebra, which is a *-algebra generalizing the Cuntz algebra and acting on indefinite-metric vector spaces, is introduced. The algebra of FP (anti)ghosts in string theory is embedded into the pseudo-Cuntz algebra recursively in two different ways. Restricting a certain permutation representation of the pseudo-Cuntz algebra, representations of these two recursive FP ghost systems are obtained. With respect to the zero-mode operators of FP (anti)ghosts, it is shown that one corresponds to the four-dimensional representation found recently by one of the present authors (M. Abe) and Nakanishi, while the other corresponds to the two-dimensional one by Kato and Ogawa.

scholarly journals Applications of Internet of Things and Unmanned Aerial Vehicle in Smart Agriculture: A Review

2022 ◽  
Author(s):  
Caprio Mistry ◽  
Ahona Ghosh ◽  
Mousumi Biswas ◽  
Bikalpa Bagui ◽  
Arighna Basak
Keyword(s):  
Unmanned Aerial Vehicles ◽  
Single Mode ◽  
The Other ◽  
Insecticide Application ◽  
Remote Locations ◽  
Aerial Vehicles ◽  
Human Ability ◽  
Aerial Vehicle ◽  
Smart Agriculture ◽  
Multi Mode

With the rapid advancement of technology and decline in human ability, technology has become a part of every aspect of our lives. Agriculture and irrigation are two domains in which man's potential may be exploited to its fullest. To commercialise in the industry, a variety of sensors and electronics devices are employed to keep prices down in a few domains. In order to save money and enhance the abilities of agricultural experts, UAVs (unmanned aerial vehicles) can be used for reconnaissance, pesticide and insecticide application, and bioprocessing mistake detection. When it comes to this application, both single-mode and multi-mode UAV systems will work just fine. On the other hand, this chapter identifies the challenges and limitations of IoT and UAVs connection in remote locations, demonstrating several use cases of smart agriculture and the advantages and applications of using IoT and UAVs in agriculture.

The ZZ Ceti Stars and the Rate of Evolution of White Dwarfs

1980 ◽  
Vol 58 ◽  
pp. 613-620
Author(s):  
Edward L. Robinson ◽  
S. O. Kepler
Keyword(s):  
Stellar Evolution ◽  
Light Curves ◽  
The Other ◽  
Pulsating Stars ◽  
Relative Value ◽  
Stellar Pulsations ◽  
Additional Mode ◽  
Stellar Interiors ◽  
The One ◽  
Multi Mode

The importance of the ZZ Ceti stars, and indeed the importance of all pulsating stars, derives from the fact that stellar pulsations probe the interiors of stars, and thus they test directly our models of stellar interiors and stellar evolution. The relative value of stellar pulsations as such a probe depends on, among other factors, the number of pulsation modes simultaneously excited in a star, as each additional mode depends on and constrains the properties of the star in a different way. Judged by this criterion, the pulsations of the ZZ Ceti stars should be unusually valuable because all ZZ Ceti stars are multi-mode variables. For example, among the ZZ Ceti stars with well studied light curves, the one with the fewest modes is R548 (= ZZ Ceti itself) with 4 pulsation modes simultaneously excited (Robinson et al. 1976), while some of the other ZZ Ceti stars can have dozens of pulsation modes simutaneously excited (cf. Robinson 1979).

Noise Induced Multi-Mode Neural Firings in a Period Adding Bifurcation Scenario

2003 ◽  
Vol 17 (22n24) ◽  
pp. 4195-4200 ◽  
Author(s):  
Huaguang Gu ◽  
Minghao Yang ◽  
Li Li ◽  
Zhiqiang Liu ◽  
Wei Ren
Keyword(s):  
Stochastic Resonance ◽  
Bifurcation Point ◽  
Neuronal Firing ◽  
The Other ◽  
Firing Patterns ◽  
Critical Phase ◽  
Mode Characteristics ◽  
Multi Mode

A series of new firing patterns lying between two kinds of periodic bursting patterns and randomly alternating on the two kinds of periodic bursts, were discovered in the experiment on neural pacemaker and induced by noise in Chay model near each bifurcation point in a period adding bifurcation scenario without chaos, exhibiting multi-mode characteristics that was the signature of autonomous stochastic resonance in neuronal firing. Two endogenous characteristics near each bifurcation point that made noise induce the new firing patterns were identified. One was that there existed critical phase between the trajectories of the two kinds of bursting patterns. The other was that the periods of the two kinds of bursting patterns near each bifurcation point were small.

scholarly journals Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

2018 ◽  
Vol 16 (05) ◽  
pp. 1850041 ◽  
Author(s):  
Yan Gu ◽  
Haifeng Zhang ◽  
Zhigang Song ◽  
J.-Q. Liang ◽  
L.-F. Wei
Keyword(s):  
Coherent State ◽  
Experimental Test ◽  
Density Operator ◽  
Quantum Probability ◽  
The Other ◽  
Direct Result ◽  
Entangled States ◽  
Initial State ◽  
Spin Coherent State ◽  
Realist Model

The experimental test of Bell’s inequality is mainly focused on Clauser–Horne–Shimony–Holt (CHSH) form, which provides a quantitative bound, while little attention has been paid to the violation of Wigner inequality (WI). Based on the spin coherent state quantum probability statistics, we in the present paper extend the WI and its violation to arbitrary two-spin entangled states with antiparallel and parallel spin-polarizations. The local part of density operator gives rise to the WI while the violation is a direct result of nonlocal interference between two components of the entangled states. The Wigner measuring outcome correlation denoted by [Formula: see text] is always less than or at most equal to zero for the local realist model ([Formula: see text]) regardless of the specific initial state. On the other hand, the violation of WI is characterized by any positive value of [Formula: see text], which possesses a maximum violation bound [Formula: see text] [Formula: see text]. We conclude that the WI is equally convenient for the experimental test of violation by the quantum entanglement.

SCHEME FOR DIRECT MEASURING QUASIPROBABILITY DISTRIBUTIONS OF N TRAPPED IONS IN THE DISPERSIVE REGIME

2006 ◽  
Vol 20 (25) ◽  
pp. 1567-1573
Author(s):  
WEN-XING YANG ◽  
XIAO-TAO XIE ◽  
FANG-FANG LUO
Keyword(s):  
Distribution Function ◽  
Coherent State ◽  
Trapped Ions ◽  
Present Scheme ◽  
State Reconstruction ◽  
Trapped Ion ◽  
Schrödinger Cat ◽  
Schrodinger Cat State ◽  
Quasiprobability Distributions ◽  
Quasiprobability Distribution

In this letter, a procedure is proposed for reconstructing the motional quantum state of N trapped ions. Unlike other previous schemes, the present scheme works in the dispersive regime in the presence of dissipation. In our scheme, we show that it is possible to directly measure the quasiprobability distribution function corresponding to the motional coherent state in a trapped-ion system subjected to dissipation. We also provide an example of a motional Schrödinger cat state reconstruction to exemplify our procedure.

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