Topic · Mathematical Physics
Spectral Theory in Mathematical Physics
Spectral Theory in Mathematical Physics is a research topic within Mathematical Physics. Science Explorer counts 23k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schrödinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl–Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.
- Spectral Theory
- Differential Operators
- Quantum Graphs
- Localization
- Schrödinger Operators
- Inverse Spectral Problems
- Anderson Localization
- Scattering Theory
- Weyl–Titchmarsh Theory
- Eigenvalue Estimates
- Research works
- 23k fractional, since 1950
- In the world top 10%
- 2.3k per year above
- Top-10% rate
- 10.0% share of its works in the world top 10%
- Growth, 2018-21 → 2022-25
- +17% the tick is no change
- Largest producer
China
27% of the 10 largest, 2022-now
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