What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Quantum field theory
- Electron
His main research concerns Mathematical physics, Quantum mechanics, Supersymmetry, Eigenvalues and eigenvectors and Supersymmetric quantum mechanics.
His research in Mathematical physics intersects with topics in Korteweg–de Vries equation, Nonlinear system, Schrödinger equation, Simple and Hamiltonian.
Avinash Khare regularly links together related areas like Dimension in his Quantum mechanics studies.
His Supersymmetry research includes elements of Bound state, Path integral formulation, Wave function, Eigenfunction and Harmonic oscillator.
Within one scientific family, Avinash Khare focuses on topics pertaining to Double-well potential under Path integral formulation, and may sometimes address concerns connected to Quantum statistical mechanics.
The various areas that Avinash Khare examines in his S-matrix study include Scattering amplitude and Hyperbolic function.
His most cited work include:
- Supersymmetry and quantum mechanics (2160 citations)
- Supersymmetry in Quantum Mechanics (462 citations)
- Supersymmetry, Shape Invariance and Exactly Solvable Potentials (326 citations)
What are the main themes of his work throughout his whole career to date?
Avinash Khare mainly investigates Mathematical physics, Quantum mechanics, Mathematical analysis, Nonlinear system and Eigenvalues and eigenvectors.
His research investigates the connection between Mathematical physics and topics such as Soliton that intersect with problems in Schrödinger equation.
His study in Supersymmetry, Supersymmetric quantum mechanics, Bound state, Hamiltonian and Quantum falls within the category of Quantum mechanics.
His Mathematical analysis research integrates issues from Compacton and Lattice.
His work in Nonlinear system tackles topics such as Jacobi elliptic functions which are related to areas like Elliptic function.
His Eigenvalues and eigenvectors research includes themes of Finite set, Wave function and Harmonic oscillator.
He most often published in these fields:
- Mathematical physics (40.05%)
- Quantum mechanics (33.93%)
- Mathematical analysis (14.54%)
What were the highlights of his more recent work (between 2009-2021)?
- Mathematical physics (40.05%)
- Nonlinear system (13.27%)
- Quantum mechanics (33.93%)
In recent papers he was focusing on the following fields of study:
Avinash Khare mainly focuses on Mathematical physics, Nonlinear system, Quantum mechanics, Mathematical analysis and Invariant.
He interconnects Bound state, Eigenvalues and eigenvectors, Wave function, Orthogonal polynomials and Scattering amplitude in the investigation of issues within Mathematical physics.
His Nonlinear system study incorporates themes from Schrödinger's cat, Jacobi elliptic functions, Exact solutions in general relativity and Schrödinger equation.
His research in the fields of Quantum overlaps with other disciplines such as Nonlinear Dirac equation.
His work on Hyperbolic function as part of general Mathematical analysis study is frequently linked to Context, bridging the gap between disciplines.
His Invariant research also works with subjects such as
- Isospectral, which have a strong connection to Supersymmetry,
- Laguerre polynomials that connect with fields like Canonical transformation.
Between 2009 and 2021, his most popular works were:
- Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations (102 citations)
- Successive phase transitions and kink solutions in ϕ(8), ϕ(10), and ϕ(12) field theories. (60 citations)
- Periodic and Hyperbolic Soliton Solutions of a Number of Nonlocal PT-Symmetric Nonlinear Equations (56 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Quantum field theory
- Electron
His primary scientific interests are in Mathematical physics, Nonlinear system, Quantum mechanics, Invariant and Scattering amplitude.
His Mathematical physics study frequently links to related topics such as Wave function.
He has included themes like Eigenvalues and eigenvectors and Orthogonal polynomials in his Wave function study.
His study in Nonlinear system is interdisciplinary in nature, drawing from both Jacobi elliptic functions, Superposition principle, Classical mechanics and Schrödinger equation.
Avinash Khare frequently studies issues relating to Field theory and Quantum mechanics.
In his research, Casimir effect, Group theory, Parametric statistics and Pure mathematics is intimately related to Bound state, which falls under the overarching field of Invariant.
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