[Turkmath:5641] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,

27 Mayıs Cuma günü saat 14:00'da *Doç Dr. Fatih Erman *(İzmir Yüksek
Teknoloji Enstitüsü- Türkiye) *"*  *Schrödinger Operators with Delta
Potentials Supported by Deformed Circle and Sphere* *” *başlıklı bir
seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler
davetlidir.

Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak
için aşağıdaki linki kullanabilirsiniz:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1653379367658?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d

Seminere bağlanırken aşağıdaki pencereyi görürseniz,


[image: image.png]


lütfen* Allow (İzin ver) *seçeneğine tıklayınız. Bu sizin toplantıya kamera
ve mikrofonunuzla bağlanabilmenizi sağlar.


Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.


Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.

Saygılarımızla.


Dear all,

*Assoc.Prof.Dr. Fatih Erman* from İzmir Institute of Technology (Turkey) will
give a talk titled *"*  *Schrödinger Operators with Delta Potentials
Supported by Deformed Circle and Sphere* *”* on May 27th at 14:00. All
interested are invited.

Abstract:  In this talk, we consider the Schrödinger operators with
particular class of singular potentials, namely circular and spherical
shell potentials. Such interactions are very typical even in quantum
mechanics textbooks and they are usually solved by partial wave analysis.
For the low energy sector, this problem can actually be solved directly by
writing the interaction term as a projection operator on some appropriate
sequence. However, this naive approach raises some mathematical questions
and the formal expressions for Hamiltonian needs to be defined. For this
reason, we first derive a Kreia type of formula for the resolvent operator
associated with delta potentials supported by a circle/sphere. Then we show
that  there exists a proper self-adjoint operator associated with the
initial formal expression for the Hamiltonian. We then discuss the spectral
properties of such potentials, in particular, the bound state spectrum.
Finally, we consider the small deformations of support of delta potentials
in the normal directions. We show that the first order change in the bound
state energies under small deformations of circle/sphere has a simple
geometric interpretation. This is a joint work with Sema Seymen and O.
Teoman Turgut..

Microsoft Teams platform will be used for the seminar. To join the seminar,
please use the following link:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1653379367658?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d

If you see the following window when connecting to the seminar,
[image: image.png]



please select *Allow**. *Then you will be able to use your microphone and
camera during the seminar.


Please use your real and complete name when you enter the system.

Please switch your microphone off unless you are speaking.


Sincerely
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