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- Michael Loss

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
41
Citations
6,983
137
World Ranking
1290
National Ranking
590

2013 - Fellow of the American Mathematical Society

- Quantum mechanics
- Mathematical analysis
- Algebra

Michael Loss mainly investigates Mathematical analysis, Inequality, Quantum mechanics, Magnetic field and Pure mathematics. His research combines Mathematical proof and Mathematical analysis. His Inequality research integrates issues from Matrix, Sobolev inequality, Schrödinger's cat, Mathematical optimization and Entropy.

Michael Loss frequently studies issues relating to Quadratic equation and Quantum mechanics. His Magnetic field study also includes

- Coulomb which intersects with area such as Atom, Condensed matter physics and Operator,
- Electron that intertwine with fields like Quantum electrodynamics, Schrödinger equation, Dirac operator, Arbitrarily large and Negative energy. His Pure mathematics study combines topics in areas such as Duality, Type inequality, Half-space, Fourier analysis and Monotonic function.

- Analysis, Second edition (1149 citations)
- Ground states in non-relativistic quantum electrodynamics (268 citations)
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn (171 citations)

His scientific interests lie mostly in Mathematical analysis, Quantum mechanics, Pure mathematics, Eigenvalues and eigenvectors and Mathematical physics. His Mathematical analysis research incorporates elements of Conjecture and Nonlinear system. In his research on the topic of Quantum mechanics, Dirac operator, Cutoff and Landau quantization is strongly related with Quantum electrodynamics.

Michael Loss combines subjects such as Simple and Inequality with his study of Pure mathematics. The various areas that he examines in his Eigenvalues and eigenvectors study include Operator and Laplace operator. His study in Mathematical physics is interdisciplinary in nature, drawing from both Master equation and Quantum.

- Mathematical analysis (37.70%)
- Quantum mechanics (18.32%)
- Pure mathematics (17.28%)

- Mathematical analysis (37.70%)
- Mathematical physics (12.57%)
- Symmetry breaking (7.33%)

The scientist’s investigation covers issues in Mathematical analysis, Mathematical physics, Symmetry breaking, Nonlinear system and Master equation. His study in Sobolev inequality and Interpolation inequality falls within the category of Mathematical analysis. His studies deal with areas such as Instability, Symmetry in biology, Entropy, Eigenvalues and eigenvectors and Magnetic field as well as Symmetry breaking.

His Eigenvalues and eigenvectors study incorporates themes from Upper and lower bounds, Numerical analysis and Interpolation. His study on Nonlinear system also encompasses disciplines like

- Rigidity, which have a strong connection to Theoretical physics and Schrödinger's cat,
- Differential equation that connect with fields like Phase transition and Bifurcation,
- Monotonic function which is related to area like Function, Simple, Pure mathematics, Duality and Flow. His Schrödinger's cat study combines topics from a wide range of disciplines, such as Periodic function and Ground state.

- Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (41 citations)
- One-dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows (38 citations)
- The Kac Model Coupled to a Thermostat (20 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Michael Loss mainly investigates Mathematical analysis, Interpolation, Pure mathematics, Nonlinear system and Master equation. His study in Interpolation inequality, Unit circle and Laplace operator are all subfields of Mathematical analysis. His work carried out in the field of Interpolation brings together such families of science as Inequality, Schrödinger's cat and Applied mathematics.

The Pure mathematics study combines topics in areas such as Log sum inequality, Monotonic function and Duality. His work deals with themes such as Exponential decay and Thermal equilibrium, which intersect with Master equation. His work on Sobolev inequality as part of general Sobolev space research is often related to Ricci curvature, thus linking different fields of science.

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.

Analysis, Second edition

Elliott Lieb;Michael Loss.

**(2001)**

2136 Citations

Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer;Elliott H. Lieb;Michael Loss.

Inventiones Mathematicae **(2001)**

249 Citations

Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn

Eric Carlen;M. Loss.

Geometric and Functional Analysis **(1992)**

208 Citations

Stability of Coulomb Systems with Magnetic Fields

Jiirg Frohlich;Elliott H. Lieb;Michael Loss.

Communications in Mathematical Physics **(1997)**

202 Citations

Stability of Coulomb systems with magnetic fields. I. The one-electron atom

Jürg Fröhlich;Elliott H. Lieb;Michael Loss.

Communications in Mathematical Physics **(1986)**

178 Citations

Stability of Coulomb systems with magnetic fields. III: Zero energy bound states of the Pauli operator

Michael Loss;Horng-Tzer Yau.

Communications in Mathematical Physics **(1986)**

156 Citations

Extremals of functionals with competing symmetries

Eric A Carlen;Michael Loss.

Journal of Functional Analysis **(1990)**

148 Citations

A Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities

Eric Carlen;Elliott Lieb;Michael Loss.

Journal of Geometric Analysis **(2004)**

144 Citations

Sharp constant in Nash's inequality

Eric A. Carlen;Michael Loss.

International Mathematics Research Notices **(1993)**

133 Citations

Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics

Elliott H. Lieb;Michael Loss.

Advances in Theoretical and Mathematical Physics **(2003)**

125 Citations

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