Asset Details
Do you wish to reserve the book?
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
Do you wish to request the book?
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Paper
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
2025
Overview
In this paper, we analyze the magnetic Dirichlet-to-Neumann operator (D-to-N map) \\( (b,)\\) on the exterior of the disk with respect to a magnetic potential \\(A_b, =A^b + A_\\) where, for \\(bın R\\) and \\( ın R\\), \\(A^b (x,y)= b\\, (-y, x)\\) and \\(A_ (x,y)\\) is the Aharonov-Bohm potential centered at the origin of flux \\(2 \\). First, we show that the limit of \\( (b,)\\) as \\(b 0\\) is equal to the D-to-N map \\( ()\\) on the interior of the disk associated with the potential \\(A_ (x,y)\\). Secondly, we study the ground state energy of the D-to-N map \\( (b,)\\) and show that the strong diamagnetism property holds. Finally we slightly extend to the exterior case the asymptotic results obtained in the interior case for general domains.
Publisher
Cornell University Library, arXiv.org
Subject
We currently cannot retrieve any items related to this title. Kindly check back at a later time.