Matrix and Variant Transformations Simulate Statistical Canonical Ensembles from Fock to Poissonian States of Random Sequences

Jeffrey Zheng1, 2*, Yamin Luo1, 2, Xin Zhang1, 2, Chris Zheng3 

1Key Lab of Quantum Information, Yunnan University, Kunming Yunnan 650091, China

2Key Lab of Software Engineering, Yunnan University, Kunming Yunnan 650091, China

3Tahto, Sydney, Australia 

Adv. Mater. Lett., 2019, 10 (9), pp 622-626

DOI: 10.5185/amlett.2019.9911

Publication Date (Web): Mar 02, 2019

E-mail: conjugatelogic@yahoo.com

Abstract


From a quantum statistical viewpoint, four typical quantum states are Fock, Sub-Poissonian, Poissonian and Super-Poissonian states. Quantum interactions are among Fock and Poissonian states. Using quantum statistics, model and simulation, this paper propose two models: matrix and variant transformations: 1. MT Matrix Transformation – eigenvalue states; 2. VT Variant Transformation – invariant states to analyze three random sequences: 1) random; 2) conditional random in a constant; 3) periodic pattern.  Four procedures are proposed. Fast Fourier Transformation FFT is applied as one of MT schemes and two invariant scheme of VT schemes are applied, three random sequences are used in M segments, and each segment has a length m to generate a measuring sequence. Shifting operations are applied on each random sequence to create m+1 spectrum distributions. Better than FFT, VT can identify Fock, Sub-Poissonian, Poissonian states in random analysis to distinguish three random sequences as three levels of statistical ensembles: Micro-canonical, Canonical, and Grand-Canonical ensembles. Applying two transformations, quantum statistics, model and simulation of modern quantum theory and applications can be explored.  © VBRI Press.

Keywords

Fock, sub-poissonian, poissonian, super-poissonian, matrix transformation, variant transformation, canonical ensembles.

Current Issue

Celebrating 10th Years of Diamond Open Access Publishing in Advanced Materials  


Cerebral Oxygenation Studies Through Near Infrared Spectroscopy: A Review


Analysis of Fine Sulfoaluminate Cement by Strength and Thermogravimetric Analysis


Characterization of the Interfacial Surface Energy for Composite Electrical Conduction Measurements using Two Full Range Percolation Threshold Models


Quantitative Detect of Fatigue of Membrane of Erythrocyte in Uniform Shear Field


Ecofriendly-developed Polyacrylic Acid-coated Magnetic Nanoparticles as Catalysts in Photo-fenton Processes


Evaluation of Drug Interactions with Medications Prescribed to Ambulatory Patients with Metabolic Syndrome in Urban Area


Fiber-reinforced Cementitious Composite: Sensitivity Analysis and Parameter Identification 


Evaluation of Drug Utilization Patterns Based on World Health Organization Drug use Indicators at Outpatients Clinics


Are Quantitatively Micro-machined Scaffolds Effective for Cell Technology?


Synthesis and Characterization of Gold Nanoparticles from Lobelia Nicotianifolia Leaf Extract and its Biological Activities


Advanced Oxidations of Tartrazine Azo-dye


Antifungal Activity of Salvia jordanii Against the Oral Thrush Caused by the Cosmopolitan Yeast Candida albicans among Elderly Diabetic Type 2 patients


Previous issues

Advanced Materials Congress Celebrating 10th Years of Establishment

Secure Management of Networked Batteries for Building Integrated Photovoltaics (BIPV) Systems  

The Cause of 100-year Low Carbonated Concrete of the Bridge 

Organic Montmorillonite Intercalated Nano-composites Prevent Post-Surgical Associated Infections

Morphology/tensile Performance Relationship for LLDPE/PP Double Gated Injected Blends

Preparation and Characterization of Nickel Ferrite Nanoparticles via Sol-gel Method

Nitrogen-doped Diamond Nanowire Gas Sensor for the Detection of Methane

Manufacture of Functional Open-cell Al Foams with Recycled Al Scraps using NaCl Ball Space Holder 

Vilsmeier-Haack Transformations under Non Classical Conditions

New Application of Highly Vesicular Basalt from Jabel Isbil Volcano (Dhamar-Rada'a Volcanic Field), Yemen

An Assessment of Tribological Characteristics under different Operating Condition

Functional Bi Coatings as A Perspective Material for Radiation Shields Production against Electron Radiation

Effects of Silica Modified NiFe2O4 on the Dielectric and Electrical Properties of NiFe2O4 filled Poly (methyl methacrylate) Composites

Upcoming Congress

Knowledge Experience at Sea TM