Lieb-Thirring inequalities for Generalized Indefinite Strings
- Level
- Postgraduate
- Duration
- 3 years full-time
- Mode
- Full-time
- Location
- United Kingdom
- Next intake
- OCT 2026
Overview
Lieb–Thirring inequalities provide upper bounds on the negative eigenvalues of Schrödinger operators in terms of the potential. Such inequalities have important applications in quantum mechanics, in particular for establishing the stability of matter. The aim of this project is to establish analogue inequalities for general second-order ordinary differential equations in the form of generalized indefinite strings and canonical systems. Work in this area will involve a combination of advanced tools from various areas of analysis. 94% of Loughborough’s research impact is rated world-leading or internationally excellent. REF 2021
Entry requirements
| Degree | 2:1 |
|---|
English language requirements
| IELTS | 6.5 overall, no part below 6 |
|---|
The standard University IELTS English language requirement is 6.5 overall with 6.0 in each individual element (reading, writing, listening and speaking).
Fees
International students: £23,100
UK students: £5,238
UK/Home: £5,238
International: £23,100
Start dates
October 2026, February 2027, July 2027
Application deadline
1 February 2027
Campus
- Loughborough, United Kingdom
Similar courses
Scroll sidewaysAccessing New Chemistries: Tuning Reactivity Of Chemical Processes Using Ionic Liquids And Deep Eutectic Solvents
Loughborough UniversityAdvanced Manufacturing Engineering and Management (PGT)
Loughborough UniversityMirror symmetry for fibrations and degenerations of Calabi-Yau manifolds
Loughborough UniversityPharmaceutical Science and Medicinal Chemistry (PGT)
Loughborough UniversitySport Performance
Loughborough UniversityTransdisciplinary and Systems Thinking in Design and Creative Arts
Loughborough UniversityA-Z of master’s degrees for January start (PGT)
Loughborough UniversityAccess-Controlled Oxidation: Understanding the Role of Structure in Protein Damage
Loughborough University