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Coherent State Methods in Spectral Asymptotics PhD 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
Coherent State Methods in Spectral Asymptotics PhD 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
01 Jul 2025
3 Years
Oct
Tuition fees
Domestic Students
-
-
International Students
22,360
-
Scholarships
Selecting the right scholarship can be a daunting process. With countless options available, students often find themselves overwhelmed and confused. The decision can be especially stressful for those facing financial constraints or pursuing specific academic or career goals.
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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 fees
Domestic Students
International Students
Scholarships
Selecting the right scholarship can be a daunting process. With countless options available, students often find themselves overwhelmed and confused. The decision can be especially stressful for those facing financial constraints or pursuing specific academic or career goals.
To help students navigate this challenging process, we recommend the following articles:
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