A5010579391- Quantum Information and Cryptography
- Quantum Mechanics and Applications
- Cold Atom Physics and Bose-Einstein Condensates
- Nonlinear Optical Materials Research
- Crystallography and molecular interactions
- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Physics of Superconductivity and Magnetism
- Solid-state spectroscopy and crystallography
- Quantum optics and atomic interactions
- Mechanical and Optical Resonators
- Quantum Chromodynamics and Particle Interactions
- Crystal structures of chemical compounds
- Particle physics theoretical and experimental studies
- Advanced Thermodynamics and Statistical Mechanics
- Quantum Mechanics and Non-Hermitian Physics
- Quantum chaos and dynamical systems
- Spectroscopy and Quantum Chemical Studies
- Matrix Theory and Algorithms
- Groundwater flow and contamination studies
- Quantum Electrodynamics and Casimir Effect
- Statistical Mechanics and Entropy
- Plant Water Relations and Carbon Dynamics
- Plant responses to elevated CO2
- Crystallization and Solubility Studies
Indian Institute of Technology Madras
2010-2024
University of Madras
1987-2022
Pacific Northwest National Laboratory
2018-2020
University of Illinois Urbana-Champaign
2008-2019
Ramakrishna Mission Vidyalaya
1999-2016
Geological Survey of India
2003-2010
University of Hyderabad
1993-2008
Auburn University
2007
Institute of Wood Science and Technology
1998
Indian Council of Forestry Research and Education
1998
Abstract Without new innovations, present rates of increase in yields food crops globally are inadequate to meet the projected rising demand for 2050 and beyond. A prevailing response [ CO 2 ] is an leaf area. This especially marked soybean, world's fourth largest crop terms seed production, most important vegetable protein source. Is this area beneficial, with respect increasing yield, or it detrimental? It shown from theory experiment using open‐air whole‐season elevation atmospheric that...
Multi-scale models can facilitate whole plant simulations by linking gene networks, protein synthesis, metabolic pathways, physiology, and growth. Whole be further integrated with ecosystem, weather, climate to predict how various interactions respond environmental perturbations. These have the potential fill in missing mechanistic details generate new hypotheses prioritize directed engineering efforts. Outcomes will potentially accelerate improvement of crop yield, sustainability, increase...
It is shown that a N×N real symmetric [complex Hermitian] positive definite matrix V congruent to diagonal modulo pseudo-orthogonal [pseudo-unitary] in SO(m,n)[SU(m,n)], for any choice of partition N=m+n. further the method proof this context can easily be adapted obtain rather simple Williamson’s theorem which states if N even then also symplectic Sp(N,R)[Sp(N,C)]. Applications these results considered include generalization Schweinler–Wigner “orthogonalization based on an extremum...
The authors calculate Berry's phase and the Hannay angle for some physically interesting coherent states with parameters characterising taken to be slowly varying. Interestingly, they find that harmonic oscillator provide an example which, although is zero, non-zero.
Abstract The Domenico solution is widely used in several analytical models for simulating ground water contaminant transport scenarios. Unfortunately, many textbook as well journal article treatments of this approximate are full empirical statements that developed without mathematical rigor. For reason, a rigorous analysis warranted. In article, we present method to derive the and explore its limits. Our shows true when value longitudinal dispersivity zero. nonzero values, will introduce...
Abstract As the leading global grain crop, maize significantly impacts agricultural water usage. Presently, photosynthesis () in leaves of modern crops is saturated with , implying that reducing stomatal conductance would not affect but reduce transpiration (), thereby increasing use efficiency (WUE). While reduction benefits upper canopy under optimal conditions, tradeoffs low light and nitrogen‐deficient nonoptimal microenvironments remain unexplored. Moreover, increases leaf temperature...
Agriculture is vital in the Indian economy as it contributes approximately 17 percent to total Gross Domestic Product (GDP). Wells and tubewells supply more than 61 of India's net irrigated land. The rapidly expanding population, increasing demand for drinking, irrigation purposes, industrial applications, leads over-exploitation groundwater a rapid decline levels. Due apparent relevance groundwater, necessary monitor continuously. Monitoring dynamics valuable natural resource difficult,...
Through use of the notation thermofield dynamics, an exact solution a class master equations describing coupled nonlinear oscillators is presented.Received 2 August 1990DOI:https://doi.org/10.1103/PhysRevA.43.4054©1991 American Physical Society
We compute the generating function for photon-number distribution single-mode fields described by a Gaussian Wigner considered previously Agarwal and Adam [Phys. Rev. A 38, 750 (1988)] obtain simpler formulas than those given them. also give analytical results factorial cumulants of consider some limiting cases.
We obtain a large class of multiphoton annihilation operator (F) eigenstates by constructing an ${\mathit{G}}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$ such that [F,${\mathit{G}}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$]=1. show almost all known coherent states, including the squeezed states and other nonclassical as cat kitten follow from our approach. Further, we them can be expressed exponential acting on vacuum F. The technique easily generalized to deformed bosons.
Quantum-mechanical phase distributions are investigated for some nonlinear optical phenomena which, at a classical level, involve only changes in the of electric field. The include reflection from phase-conjugate mirror and propagation through an fiber. It is found that, while peaks respective exhibit expected behavior, widths also undergo substantial changes. relation between input output two cases mentioned above analytically as well numerically. results compared with distribution defined...
A generalized commutation relation of a single-mode oscillator is proposed. Bose-Einstein, Fermi-Dirac, and Greenberg's infinite statistics are shown to be special cases this relation. The Fock states, coherent analogs squeezed states for constructed. Finally, the quantization free infinite-statistics field discussed using Umezawa-Takahashi procedure [H. Umezawa Y. Takahashi, Prog. Theor. Phys. 9, 14 (1953); Nucl. 51, 193 (1964)].
We investigate some aspects of q Heisenberg algebra. show how su(2) and su(1,1) generators can be constructed in terms the creation annihilation operators. also construct coherent states for oscillator that they obtained by action a displacement operator on vacuum. For multimode case with q=0, corresponding to infinite statistics Greenberg [Phys. Rev. Lett. 64, 705 (1990)], we generalize our single-mode construction obtain states. These states, which are eigenstates operators, interestingly,...
Understanding how climate change influences crop productivity helps in identifying new options to increase productivity. Soybean is the most important dicotyledonous seed terms of planting area. Although impacts elevated atmospheric [CO2] on soybean physiology, growth and biomass accumulation have been studied extensively, contribution different factors changes season-long whole photosynthetic CO2 uptake [gross primary (GPP)] under not fully quantified.A 3-D canopy model combining...
A large class of bosonic coherent states known in the literature have been constructed a unified way by Shanta et. al. (1994). It is shown that this method can be easily extended to generalized bosonic-oscillator systems.
Abstract Using the thermo-field dynamics notation, an elegant solution of master equation for attenuated or amplified nonlinear oscillator is presented. It found that, in this under consideration amounts to a simple modification that linear oscillator.
Finite-temperature generalizations of the important, special families states in quantum optics are constructed using thermofield dynamics. Fermionic coherent states, fermionic squeezed and their thermalized counterparts also constructed. It is shown that all these possess a generalized thermal annihilation operator, for which eigenstates. Typical correlation functions at finite temperature evaluated.
We present a general unified approach for finding the coherent states of polynomially deformed algebras such as quadratic and Higgs algebras, which are relevant various multiphoton processes in quantum optics. give procedure to map these appropriate Lie algebras. This is used, non compact cases, obtain annihilation operator states, by canonical conjugates operators. Generalized Perelomov sense also follow from this construction. allows us explicitly construct associated with optical systems.
The Tamm-Dancoff (TD) deformation of the boson oscillator incorporates a high energy cutoff in its spectrum. It is found that one can obtain similar any generalized bosonic algebra. Hopf (or ‘quantum’) algebraic aspects TD-deformation are discussed. Examples given.
Potassium magnesium sulphate hexahydrate (picromerite) was synthesized and single crystals were obtained from saturated aqueous solution by slow evaporation method at room temperature. The bright, colourless transparent having well defined external faces. grown characterized through Fourier Transform Infrared (FTIR) spectral studies thermal analysis. FTIR data used to assign the characteristic vibrational frequencies of various chemical bonds in compound. compound crystallizes monoclinic...
It is shown that the quantum phase space distributions corresponding to a density operator can be expressed, in thermofield dynamics, as overlaps between state and `thermal' coherent states. The usefulness of this approach brought out context master equation describing nonlinear oscillator for which exact expressions an arbitrary initial condition are derived.
We show that a single para-Bose oscillator may be regarded as deformed Bose oscillator. construct nonlinear realization of the single-mode algebra in terms boson. This is contrast to Green decomposition expresses p anticommuting bosons. also an operator canonically conjugate annihilation permits us carry over familiar constructions para-Bosonic case.