What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Electron
Elliott H. Lieb spends much of his time researching Quantum mechanics, Ground state, Mathematical physics, Condensed matter physics and Combinatorics.
His Quantum mechanics study focuses mostly on Coulomb, Pauli exclusion principle, Hamiltonian, Fermion and Effective nuclear charge.
Elliott H. Lieb combines subjects such as Hubbard model, Quantum electrodynamics, Electron and Ferromagnetism with his study of Ground state.
His Mathematical physics research is multidisciplinary, relying on both Eigenvalues and eigenvectors, Square-lattice Ising model and Conjecture.
His biological study spans a wide range of topics, including Exact solutions in general relativity and Free electron model.
Elliott H. Lieb has included themes like Function, Sobolev inequality, Mathematical analysis and Constant in his Combinatorics study.
His most cited work include:
- Two Soluble Models of an Antiferromagnetic Chain (2618 citations)
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension (1849 citations)
- EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE (1803 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Quantum mechanics, Ground state, Condensed matter physics, Mathematical analysis and Mathematical physics.
His work carried out in the field of Quantum mechanics brings together such families of science as Quantum electrodynamics and Upper and lower bounds.
The Ground state study combines topics in areas such as Schrödinger equation, Scattering length, Bose gas, Polaron and Coupling constant.
Condensed matter physics and Quantum are frequently intertwined in his study.
His research investigates the connection between Mathematical analysis and topics such as Pure mathematics that intersect with issues in Inequality.
His Electron study integrates concerns from other disciplines, such as Magnetic field and Atomic physics.
He most often published in these fields:
- Quantum mechanics (35.41%)
- Ground state (25.32%)
- Condensed matter physics (13.21%)
What were the highlights of his more recent work (between 2009-2021)?
- Quantum mechanics (35.41%)
- Pure mathematics (10.64%)
- Ground state (25.32%)
In recent papers he was focusing on the following fields of study:
Elliott H. Lieb mainly investigates Quantum mechanics, Pure mathematics, Ground state, Combinatorics and Mathematical analysis.
His studies in Quantum mechanics integrate themes in fields like Condensed matter physics and Filling factor.
His Condensed matter physics research includes elements of State and Thermodynamic limit.
His Pure mathematics research is multidisciplinary, incorporating perspectives in Quantum, Inequality and Generalization.
His study explores the link between Ground state and topics such as Bose gas that cross with problems in Correlation function, Momentum and Observable.
Elliott H. Lieb interconnects Function, Upper and lower bounds, Quantum relative entropy and Rényi entropy in the investigation of issues within Combinatorics.
Between 2009 and 2021, his most popular works were:
- Monotonicity of a relative Rényi entropy (226 citations)
- Monotonicity of a relative R'enyi entropy (178 citations)
- Sharp constants in several inequalities on the Heisenberg group (125 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Electron
Elliott H. Lieb mostly deals with Quantum mechanics, Pure mathematics, Sobolev inequality, Conjecture and Mathematical analysis.
In most of his Quantum mechanics studies, his work intersects topics such as Condensed matter physics.
His research in Pure mathematics intersects with topics in Quantum, Kullback–Leibler divergence and Inequality.
His Sobolev inequality study incorporates themes from Bound state, Log sum inequality, Heisenberg group, Eigenvalues and eigenvectors and Laplace operator.
As a part of the same scientific study, Elliott H. Lieb usually deals with the Conjecture, concentrating on Entropy and frequently concerns with Monotone polygon.
His studies deal with areas such as Phase transition and Subharmonic as well as Mathematical analysis.
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