# Spectral Theory in Mathematical Physics

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/spectral-theory-in-mathematical-physics/

## Facts

| Field | Value |
| --- | --- |
| Citations | 553,339 |
| Description | 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. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T11022 |
| Works | 69,204 |

## Topic papers all

- [Inverse Sturm–Liouville Problems](https://scholariq.org/papers/inverse-sturm-liouville-problems/)
- [Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications](https://scholariq.org/papers/spectral-theory-of-operator-pencils-hermite-biehler-functions-and-their/)
- [Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone](https://scholariq.org/papers/integral-representations-for-the-solutions-of-infinite-order-of-the-stationary/)
- [Random data final-state problem of fourth-order inhomogeneous NLS](https://scholariq.org/papers/random-data-final-state-problem-of-fourth-order-inhomogeneous-nls/)
- [Almost sure scattering for defocusing energy critical Hartree equation on $\R^5$](https://scholariq.org/papers/almost-sure-scattering-for-defocusing-energy-critical-hartree-equation-on-r-5/)

## Topic researchers

Showing 12 of 20.

- [Steven Weinberg](https://scholariq.org/researchers/steven-weinberg/)
- [Rodney J. Bartlett](https://scholariq.org/researchers/rodney-j-bartlett/)
- [John C. Doyle](https://scholariq.org/researchers/john-c-doyle/)
- [Xi Dai](https://scholariq.org/researchers/xi-dai/)
- [Élliott H. Lieb](https://scholariq.org/researchers/elliott-h-lieb/)
- [Tosio Kato](https://scholariq.org/researchers/tosio-kato/)
- [Barry Simon](https://scholariq.org/researchers/barry-simon/)
- [S. Gaudio](https://scholariq.org/researchers/s-gaudio/)
- [P. A. M. Dirac](https://scholariq.org/researchers/p-a-m-dirac/)
- [John von Neumann](https://scholariq.org/researchers/john-von-neumann/)
- [Zhong Fang](https://scholariq.org/researchers/zhong-fang/)
- [Gian‐Carlo Rota](https://scholariq.org/researchers/gian-carlo-rota/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.