A5102745752- Holomorphic and Operator Theory
- Magnetic confinement fusion research
- Particle accelerators and beam dynamics
- Advanced Topics in Algebra
- Advanced Banach Space Theory
- Atomic and Molecular Physics
- Laser-induced spectroscopy and plasma
- Stability and Controllability of Differential Equations
- Superconducting Materials and Applications
- Plasma Diagnostics and Applications
- Silicon and Solar Cell Technologies
- Ion-surface interactions and analysis
- Model Reduction and Neural Networks
- Semiconductor materials and interfaces
- Matrix Theory and Algorithms
- X-ray Spectroscopy and Fluorescence Analysis
- Electron and X-Ray Spectroscopy Techniques
- Antenna Design and Analysis
- Gyrotron and Vacuum Electronics Research
- Laser-Plasma Interactions and Diagnostics
- Mass Spectrometry Techniques and Applications
- Approximation Theory and Sequence Spaces
- Fusion materials and technologies
- Semiconductor materials and devices
- Mathematical and Theoretical Analysis
Institute for Plasma Research
2010-2024
Centre de Recherche sur les Ions, les Matériaux et la Photonique
2021
Odisha University of Agriculture and Technology
2017
Banaras Hindu University
2003-2013
University of Massachusetts Boston
2010
University of Lucknow
2010
University of Jammu
1981-2005
Panasonic (United States)
2004
University at Albany, State University of New York
1985-1988
Albany State University
1985
A necessary and sufficient condition for a rational function to define composition operator on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p Baseline left-parenthesis mu right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>μ</mml:mi> stretchy="false">)</mml:mo>...
Abstract Let (Хζ,λ) be a σ-finite measure space, and let ϕ non-singular measurable transformation from X into itself. Then composition C on L 2 (λ) is defined by f = ∘ ϕ. If bounded operator, then it called operator. The space said to admit compact operators if there exists such that compact. This note report the spaces which or do not operators.
Abstract Using fast imaging technique, the effect of transverse magnetic field on shape and dynamics lithium plasma plume has been studied. Enhancement in overall emission intensity as well appearance distinct structures (lobes) presence observed. By introducing a variable field, influence J × B force expanding across explored. It appears that does not substantial role observed present case rather different atomic processes, which get affected due to change parameters, are responsible for...
Hydrogen passivation of a substitutional sulfur defect in silicon has been studied using the modified intermediate neglect differential overlap molecular orbital method. We find that center can be passivated one or two hydrogen atoms. The calculations indicate most stable positions atoms are between and its neighbors. hydrogens bond to nearest only interact weakly with sulfur. Thermochemistry considerations predict single passivates center, providing these centers abundant silicon.
RF systems in the ion cyclotron resonance frequency (ICRF) range and electron (ECRF) are an advanced stage of commissioning, to carry out pre-ionization, breakdown, heating current drive experiments on steady-state superconducting tokamak SST-1. Initially 1.5 MW continuous wave ICRF system would be used heat SST-1 plasma 1.0 keV during a pulse length 1000 s. For different scenarios at 3.0 T, wide band operating frequencies (20–92 MHz) is required. To meet this requirement two CW rf...
The dissociative ionization of a N${}_{2}$O molecule is studied at an electron energy 10 keV using the multiple-ion-coincidence imaging technique. complete as well incomplete Coulomb explosion pathways for N${}_{2}$O${}^{2+}$ and N${}_{2}$O${}^{3+}$ ions are examined identified. precursor-specific relative partial cross sections resulting fragment obtained. It found that about 81.8$%$ single ionization, 17.8$%$ double 0.4$%$ triple parent contribute to total ion yield. Furthermore, ionic...
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Subscript phi"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>ϕ</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{C_\phi }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a composition operator on L squared left-parenthesis lamda right-parenthesis"> <mml:mrow> <mml:msup>...
We characterize the compact and weakly weighted composition operators on Banach space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Subscript p Baseline left-parenthesis upper T comma X right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mo>,</mml:mo>...
The dissociative ionization of a CO${}_{2}$ molecule is studied at an electron energy 12 keV using the multiple ion coincidence imaging technique. absolute partial cross sections and precursor-specific resulting fragment ions are obtained reported. It found that \ensuremath{\sim}75% single ionization, 22% double \ensuremath{\sim}2% triple parent contribute to total yield; quadruple make negligibly small contribution. Furthermore, for ion-pair ion-triple formation measured nine channels up...
Let C φ be a composition operator on L 2 (λ), where λ is σ-finite measure set X . Conditions under which invertible, unitary, and normal are investigated in this paper.
Abstract We give algebraic criteria for distinguishing composition operators among all continuous linear on spaces of functions with topologies generated by seminorms that are weighted analogues the supremum norm. In another direction, we also characterize those self maps underlying topological space which induce such spaces, as well determine conditions these correspond to various basic properties induced operator. Our results applied a question concerning translation invariance arises in...
Let T be a mapping from set X into itself and let H ( ) functional Hilbert space on the . Then composition operator C induced by is bounded linear transformation defined f = ∘ In this paper operators are characterized in case when 2 (π + terms of behaviour inducing functions vicinity point at infinity. An estimate for lower bound ∥ given. Also invertibility
We developed a simulation technique to study the effect of space charge interaction between trapped ions in electrostatic ion beam trap (EIBT). The importance is demonstrated both dispersive and self-bunching regime trap. results provide an estimate for on trapping efficiency. They also allow better understanding enhanced diffusion characterization EIBT as mass spectrometer, where peak coalescence important. numerical reproduce all experimental data, demonstrating critical including effects,...
Second harmonic heating experiments using fast waves are carried out on the Aditya tokamak in ion cyclotron resonance frequency (ICRF) range with help of a 200 kW, 20–40 MHz RF system, which is developed indigenously. Significant direct electron observed hydrogen plasma. The rise temperature prompt application power and increment increases linearly power. A corresponding increase plasma beta hence an stored diamagnetic energy also presence low-Z impurity radiation density do not...
The ITER ion cyclotron heating and current drive system is designed to deliver 20 MW a broad range of plasma scenarios, during very long pulses (∼500 s in inductive, up 1 h noninductive, scenarios). associated radio-frequency (rf) source has be compliant with all operation modes foreseen operation. India responsible for delivering the rf package ITER, which includes one prototype followed by eight bulk production units. This lecture presents system, design considerations, status research...
Abstract If V is a system of weights on completely regular Hausdorff space X and E alocally convex space, then CV 0 ( X, ) b are locally spaces vector-valued continuous functions with topologies generated by seminorms which weighted analogues the supremum norm. In this paper we characterise multiplication operators these induced scalar-valued mappings. Many examples presented to illustrate theory.
A pulsed oscillating power amplifier has been developed to apply high frequency biasing voltage an electrode at the edge of STOR-M tokamak plasma. The can deliver a peak-to-peak up 120V and current 30A within range 1kHz-50kHz. is located in equatorial plane radius $\rho = 0.88$. applied varied between discharges. It observed that plasma density soft x-ray intensity from core region usually increase lower regime 1kHz-5kHz as well relatively higher 20kHz-25kHz but seldom them. Increment...
A detailed characterization of RF–plasma discharge in the multi-cusp plasma device (MPD) having a multi-dipole line cusp magnetic field (MMF: <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$B_{0}$ </tex-math></inline-formula> ) has been experimentally demonstrated using externally employed four turns high power spiral antenna. The measured input impedance ( notation="LaTeX">$\sim $ 0.37 +...
Abstract Let X be a completely regular Hausdorff space, let V system of weights on and T locally convex topological vector space. Then CV b (X, T) is space vector-valued continuous functions with topology generated by seminorms which are weighted analogues the supremum norm. In present paper we characterize multiplication operators induced operator-valued mappings then obtain (linear) dynamical this function
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Subscript phi"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>ϕ<!-- ϕ --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{C_\phi }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a composition operator on L squared left-parenthesis lamda right-parenthesis"> <mml:mrow> <mml:msup>...
Directional couplers are used to monitor forward and reflected high RF powers. At Mega Hertz range of frequencies, normally loop type directional used. The samples electric or magnetic fields. penetration orientation the loops adjusted in such a way that magnitude current is same two arms loop. In this configuration one arm shows incident power while other gives power. Secondary terminated into 50 ohm order avoid multiple reflections. rectangular coupling developed coupler having dimensions...