東京大学生産技術研究所の李と申します。
羽田野研究室では、下記の通りセミナーを開催致します。
皆様の奮ってのご参加をお待ちしております。
なお、当研究室におけるセミナー情報は、次のリンクよりご覧頂けます。
hatano-lab.iis.u-tokyo.ac.jp/seminar-j.html
当セミナーは原則として現地会場での開催となりますが、オンライン参加をご希望の方はご連絡下さい。
*本案内は複数のメーリングリストにお送りしております。重複して受け取られました方は何卒ご容赦下さい。
Dear All,
This is Jaeha Lee from the Institute of Industrial Science, the University of Tokyo.
We are pleased to announce an upcoming seminar as follows.
Information regarding our seminar series is available on our web site.
hatano-lab.iis.u-tokyo.ac.jp/seminar-e.html
Those who are interested are welcome to join us on-site. For those who wish to join us online, please feel free to contact us.
* Apologies if you have received multiple copies of this announcement.
記
日時:2025年02月13日(木)14時30分〜 / Thursday, 13th February 2025, 14:30 JST –
場所:東京大学生産技術研究所 研究実験棟I大会議室 / The large conference room, Research and Testing Complex I, IIS, the University of Tokyo
来場:http://hatano-lab.iis.u-tokyo.ac.jp/access-j.html / hatano-lab.iis.u-tokyo.ac.jp/access-e.html
講師:Fabio Bagarello さん(U. Palermo)
演題:A brief introduction to non Hermitian Hamiltonians and on their dynamics: the role of ladder operators
要旨:
In my talk I will discuss some general aspects of quantum mechanics with non Hermitian Hamiltonians.
In the first part I will introduce a general mathematical settings connected to this class of Hamiltonians. The level of this part is elementary.
In the second part of my talk, I will describe more recent results. In particular:
1. I will discuss few facts concerning the Heisenberg dynamics for non Hermitian Hamiltonians, from an algebraic point of view.
2. I will propose a general procedure to find eigenstates and eigenvalues of a non self-adjoint Hamiltonians, based on the notion of abstract ladder operators.
3. If I have time, I will also discuss some recent results on the role of distributions in quantum mechanics for pseudo-bosons. I will propose a new definition of multiplication of distributions, and discuss some applications, in connection with a generalized notion of biorthogonality.
The talk is based on the following works:
[1] F. Bagarello, Heisenberg dynamics for non self-adjoint Hamiltonians: symmetries and derivations, MPAG, 26, 1-15 (2023)
[2] F. Bagarello, Abstract ladder operators and their applications, J. Phys. A, 54, 445203 (2021)
[3] F. Bagarello, Abstract ladder operators for non self-adjoint Hamiltonians, with applications, Ann. of Phys., 468, 169727 (2024)
[4] F. Bagarello, F. Gargano, Bi-coherent states as generalized eigenstates of the position and the momentum operators, ZAMP, 73:119 (2022)
[5] F. Bagarello, Multiplication of distributions in a linear gain and loss system, ZAMP, 74:136 (2023)
[6] F. Bagarello, e-product of distributions, with applications, submitted to Zeitschrift für Analyse und ihre Anwendungen
[7] F. Bagarello, Pseudo-bosons and their coherent states, Springer (2022)
[8] C. M. Bender, PT Symmetry In Quantum and Classical Physics, World Scientific Publishing Europe Ltd., London (2019)
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李 宰河
〒277-8574 千葉県柏市柏の葉5-1-5
東京大学生産技術研究所
電 話:04-7136-6962
メール:lee@iis.u-tokyo.ac.jp
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