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Coherent State Methods in Spectral Asymptotics PhD
Loughborough University, Loughborough, United Kingdom
# 201-250QS Subject Rankings
36 monthsProgram duration
22,360 Tuition Fee/year
01 Jul, 2025Application Deadline
Program overview
Main Subject
Mathematics
Degree
PhD
Study Level
PHD
Study Mode
On Campus
The number of negative eigenvalues of a Schrödinger operator in the asymptotic regime of large coupling is given by the celebrated Weyl law. A textbook proof of the leading order term in Weyl’s law uses...
Read more coherent states – states that are as well-localized in phase-space as permitted by the Heisenberg uncertainty principle. This project aims to use coherent state methods (closely related to the so-called FBI transform) to go beyond leading order. Although these results can be obtained by highly sophisticated techniques such as Fourier Integral Operator calculus, coherent states offer a very flexible and robust alternative and are physically well-motivated.
Read less
Program overview
Main Subject
Mathematics
Degree
PhD
Study Level
PHD
Study Mode
On Campus
The number of negative eigenvalues of a Schrödinger operator in the asymptotic regime of large coupling is given by the celebrated Weyl law. A textbook proof of the leading order term in Weyl’s law uses...
Read more coherent states – states that are as well-localized in phase-space as permitted by the Heisenberg uncertainty principle. This project aims to use coherent state methods (closely related to the so-called FBI transform) to go beyond leading order. Although these results can be obtained by highly sophisticated techniques such as Fourier Integral Operator calculus, coherent states offer a very flexible and robust alternative and are physically well-motivated.
Read less
Admission Requirements
Tuition Fee and Scholarships
Domestic Students
International Students
One of the important factors when considering a master's degree is the cost of study. Luckily, there are many options available to help students fund their master's programme. Download your copy of the Scholarship Guide to find out which scholarships from around the world could be available to you, and how to apply for them.
In this guide you will find:
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How to apply to scholarships relevant to you
A list of available scholarships around the world
A scholarship application checklist
QS subject rankings
Subject: Mathematics
Ranking criteria
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