wK@wXyNg_Z~i[

162wK@wXyNg_Z~i[

F@2017 N 11 18 iyj 14:00 -- 17:00
ꏊF wK@w@42K 205Z~i[

1. 14:00--15:00
u: 쑺@Si(ɌE)

ځFUSchr\"{o}dingerpf̖ŗLl臒l]iX
Persistentl̂ɂ

TF\$\mathbb{Z}^{d}\$ ̗U Schr\"{o}dinger pfŁA|eV
䂪L̂̂l@̑ΏۂƂ܂B̂ƂA臒lɖŗLl⃌]iX
|eVŜ̂ȂW̊􉽊wIȐAтƍpf̃XyNg
Ƃ̊֌WɂďqׂƎv܂B

2. 15:30--17:00
u: ]ov(Ej

: }bNXEF̈ʉƒeƂ̊֌W

T: l̕w҂}bNXEFAcg݂̑悤ȕ
ʉĂ܂B炪Aw̎_isymboĺj牽Ă邩
߂Ǝv܂B
ł̋c_́AëK\ɖڂɂȂĂ邱ƂɂGꂽ
łB

161wK@wXyNg_Z~i[

F@2017 N 11 8 ij 16:30 -- 17:30
ꏊF wK@w@42K 205Z~i[

ut@Rodolfo Figari (University of Naples Federico II)

Title: Quantum beating in a non linear double point-like well potential

Abstract: We investigate solutions to the Schr\o"dinger equation with a non
linear double well potential. The quantum beating phenomenon typical of the
linear case is rapidly suppressed by the non linearity. We will make use of
a reformulation of the evolution problem in term of a system of non linear
Volterra integral equations. Some preliminary numerical results will be
reported.

160wK@wXyNg_Z~i[

F@2017 N 10 5 i؁j 16:30 -- 17:30
ꏊF wK@w@42K 205Z~i[

ut. Kalyan Sinha(Jawaharial Nehru Center for Advanced Scientific Research)

: On Trace Formulas in Operator Theory

T: There have been many such trace formulas , one of the most
well-known one is the Krein's formula , motivated by Quantum Physics . More
recently, there have been various efforts linking traces of operator functions
with suitable integrals of de-Rham cohomology classes , which constitute
asmall, but important part of non-commutative geometry . Specifically, we
shall discuss the derivation of the Helton-Howe trace formula as a
consequence of the Krein's trace formula. Kato's theory of smooth operators
plays an important role .

159wK@wXyNg_Z~i[

F@2017 N 8 5 iyj 16:00 -- 17:00
ꏊF wK@w@42K 205Z~i[

ut: Frederic Klopp (Universite Pierre et Marie Curie)

: Resonances for large random samples.

T: the talk will be devoted to the description of the
resonances generated by a large sample of random material.
In one dimension, one obtains a very precise description for
the resonances that directly related to the description fo
the eigenvlues and localization centers for the full random
model. In higher dimension, in the complex plane, below a
region of localization in the spectrum for the full random
model, one obtains a much rougher description of the
resonances.

158wK@wXyNg_Z~i[

F@2017 N 6 17 iyj 14:30 -- 17:00
ꏊF wK@w@42K 205Z~i[

1. 14:30--15:30
ut: ǁ@Wꎁ(wE)

:Strichartz estimates for semi-Riemannian Schrödinger equations

T: {uł͔Riemann^SchrödingerStrichartz]
ɂĉBRiemann^SchrödingerƂ́ALorentzv(
ɔމv)ɕt_xVAɊւSchrödingerłB
͕̕U^̈łAKenig, Ponce, Relvung, Vegaɂ
Kؐ`ɂčl@ĂB܂g[Xł́AY. Wang
ɂ, Riemann^Ƃ͈قȂStrichartz]邱ƂmĂB
ŔRiemann^Schrödingerpf͑ȉ~^łȂ߁AL^pԂSobolev
ԏł̐U镑̖_BœK؂ȕۑʂ݂̑ۂ
Ƃɂ肱̍AEuclidԏőȂStrichartz]

15:30--16:00 tea time

2. 16:00--17:00
ut: ĎR חS(ȑE)

u薼Fgϊɂgpf̒l̓Â

TF{uł͎ԈˑZ^|eVVfBK[
΂gpflB
Rho-tFt@[}ɂēꂽgϊp邱Ƃɂĕ
̕\Ap邱Ƃɂgpf̑ݏؖl̓Â

܂Ԃ΁AgϊɂCgpf̍\ɂĂЉB
ȂA{͉\ꎁiȑwjƂ̋ɊÂB

157wK@wXyNg_Z~i[

F@2017 N 5 13 iyj 14:30 -- 17:00
ꏊF wK@w@42K 205Z~i[

1. 14:30--15:30
ut: 㓡䂫ݎ(wE)

ځFAbsence of a Ground State for Bosonic Coulomb Systems with Critical
Charge

TFWe consider bosonic Coulomb systems with N-particles and K static
nuclei. Let E(N, Z) denote the ground state energy of a bosonic molecule of
the total nuclear charge Z. We prove that the system has no normalizable
ground state when E(N, N-1) = E(N-1, N-1).

2. 16:00--17:00
ut: {@v(wK@wE)

: ڗ`W̓Kؐɂĉʂɂ

T: `W̉͗LԂŔ邱ƂAȂƂB
̗͊wɌł́Aڗ̂ʂłBĈڗ
̔悤ɂĂ邱ƂBW߁A
̍ȖЉB

13Nx 14Nx 15Nx

QWNx

AF@wK@www
TEL: OR-3986-0221 3702iJj@6443((j)) 3703 in粁j

e-mail: iƁj @ ɏĂB

• kenji.yajimaiƁjgakushuin.ac.jp iJ)
• okamotoqiƁjmath.gakushuin.ac.jp ({vj
• fumihikoiƁjmath.gakushuin.ac.jp@ijFj
• kazuo.watanabeiƁjgakushuin.ac.jp in粈Y)