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- Avinash Khare

Mathematics

India

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
12,215
289
World Ranking
875
National Ranking
6

2023 - Research.com Mathematics in India Leader Award

- 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.

- Supersymmetry and quantum mechanics (2160 citations)
- Supersymmetry in Quantum Mechanics (462 citations)
- Supersymmetry, Shape Invariance and Exactly Solvable Potentials (326 citations)

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.

- Mathematical physics (40.05%)
- Quantum mechanics (33.93%)
- Mathematical analysis (14.54%)

- Mathematical physics (40.05%)
- Nonlinear system (13.27%)
- Quantum mechanics (33.93%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Supersymmetry and quantum mechanics

Fred Cooper;Avinash Khare;Uday Sukhatme.

Physics Reports **(1995)**

3801 Citations

Supersymmetry in Quantum Mechanics

Fred Cooper;Avinash Khare;Uday Sukhatme.

sqm **(2001)**

761 Citations

Supersymmetry, Shape Invariance and Exactly Solvable Potentials

Ranabir Dutt;Avinash Khare;Uday P. Sukhatme.

American Journal of Physics **(1988)**

531 Citations

Supersymmetry in quantum mechanics

Avinash Khare.

**(2001)**

412 Citations

Relationship between supersymmetry and solvable potentials.

Fred Cooper;Joseph N. Ginocchio;Avinash Khare.

Physical Review D **(1987)**

358 Citations

Explicit wavefunctions for shape-invariant potentials by operator techniques

J W Dabrowska;A Khare;U P Sukhatme.

Journal of Physics A **(1988)**

307 Citations

Charged vortices in an abelian Higgs model with Chern-Simons term

Samir K. Paul;Avinash Khare.

Physics Letters B **(1986)**

297 Citations

Exactness of supersymmetric WKB spectra for shape-invariant potentials

Ranabir Dutt;Avinash Khare;Uday P. Sukhatme.

Physics Letters B **(1986)**

214 Citations

A PT-invariant potential with complex QES eigenvalues

Avinash Khare;Bhabani Prasad Mandal.

Physics Letters A **(2000)**

213 Citations

Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods

Avinash Khare;Uday P. Sukhatme.

Journal of Physics A **(1988)**

183 Citations

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