Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

2018 ◽  
Vol 31 (2) ◽  
pp. 119-158 ◽  
Author(s):  
Hebey Emmanuel and Thizy Pierre-Damien
Keyword(s):  
Type Systems ◽  
Static Case ◽  
Klein Gordon

scholarly journals Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Wayinhareg Gashaw Belayeh ◽  
Yesuf Obsie Mussa ◽  
Ademe Kebede Gizaw
Keyword(s):  
Numerical Solutions ◽  
Initial Conditions ◽  
Type Systems ◽  
Analytical Approximation ◽  
Differential Transform Method ◽  
Two Dimensional ◽  
Transform Method ◽  
Differential Transform ◽  
Klein Gordon ◽  
Reduced Differential Transform Method

In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions. The proposed technique has the advantage of producing an analytical approximation in a convergent power series form with a reduced number of calculable terms. Two test examples from mathematical physics are discussed to illustrate the validity and efficiency of the method. In addition, numerical solutions of the test examples are presented graphically to show the reliability and accuracy of the method. Also, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.

scholarly journals Evanescent particles

2021 ◽  
Author(s):  
Daniele Colosi ◽  
Robert Oeckl
Keyword(s):  
Boundary Quantum Field Theory ◽  
Transition Probability ◽  
Physical Vacuum ◽  
Static Case ◽  
Spatial Evolution ◽  
The Novel ◽  
Quantum Field ◽  
Particle Pairs ◽  
Klein Gordon ◽  
First Time

Massive Klein–Gordon theory is quantized on a timelike hyperplane in Minkowski space using the framework of general boundary quantum field theory. In contrast to previous work, not only the propagating sector of the phase space is quantized, but also the evanescent sector, with the correct physical vacuum. This yields for the first time a description of the quanta of the evanescent field alone. The key tool is the novel [Formula: see text]-Kähler quantization prescription based on a ∗-twisted observable algebra. The spatial evolution of states between timelike hyperplanes is established and turns out to be non-unitary if different choices are made for the quantization ambiguity for initial and final hyperplane. Nevertheless, a consistent notion of transition probability is established also in the non-unitary case, thanks to the use of the positive formalism. Finally, it is shown how a conducting boundary condition on the timelike hyperplane gives rise to what we call the Casimir state. This is a pseudo-state which can be interpreted as an alternative vacuum and which gives rise to a sea of particle pairs even in this static case.

scholarly journals Vortex ground states for Klein-Gordon-Maxwell-Proca type systems

2017 ◽  
Vol 58 (4) ◽  
pp. 041503 ◽  
Author(s):  
Pietro d’Avenia ◽  
Jarosław Mederski ◽  
Alessio Pomponio
Keyword(s):  
Ground States ◽  
Type Systems ◽  
Klein Gordon

Effects of activated carbon on treatment of photo-processing waste by sulfur-oxidizing bacteria

1997 ◽  
Vol 35 (7) ◽  
pp. 187-195 ◽  
Author(s):  
Binle Lin ◽  
K. Futono ◽  
A. Yokoi ◽  
M. Hosomi ◽  
A. Murakami
Keyword(s):  
Activated Carbon ◽  
Treatment Effectiveness ◽  
Environmental Concern ◽  
Type Systems ◽  
Continuous Treatment ◽  
Processing Waste ◽  
Treatment Technology ◽  
Adsorption Effect ◽  
Sulfur Oxidizing ◽  
Sulfur Oxidizing Bacteria

Establishing economic treatment technology for safe disposal of photo-processing waste (PW) has most recently become an urgent environmental concern. This paper describes a new biological treatment process for PW using sulfur-oxidizing bacteria (SOB) in conjunction with activated carbon (AC). Batch-type acclimation and adsorption experiments using SOB/PAC, SOB/PNAC, and SOB reactor type systems demonstrated that AC effectively adsorbs the toxic/refractory compounds which inhibit thiosulfate oxidization of SOB in PW. Thus, to further clarify the effect of AC, we performed a long-term (≈ 160 d) continuous-treatment experiment on 4- to 8-times dilution of PW using a SOB/GAC system which simulated a typical wastewater treatment system based on an aerobic activated sludge process that primarily uses acclimated SOB. The thiosulfate load and hydraulic retention time (HRT) were fixed during treatment such that they ranged from 0.8-3.7 kg S2O32-/l/d and 7.7-1.9 d, respectively. As expected, continuous treatment led to breakthrough of the adsorption effect of GAC. Renewing the GAC and continuing treatment for about 10 d demonstrated good treatment effectiveness.

MEDICAL CYBERNETICS AND BIOMECHANICS: THIRD TYPE SYSTEMS

2020 ◽  
Author(s):  
V. M. Es'kov ◽  
◽  
V. V. Grigorenko ◽  
N. B. Nazina ◽  
◽  
...  
Keyword(s):  
Type Systems
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