Asymptotics in Astrophysics セミナー
3 イベント
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Non-perturbative formulation of resonant quantum mechanics within unified exact WKB framework
2025年5月28日(水) 16:00 - 17:30
森川 億人 (理化学研究所 数理創造研究センター (iTHEMS) 数理基礎部門 基礎科学特別研究員)
We study quasi-stationary states in quantum mechanics using the exact WKB analysis as a non-perturbative framework. We explore unstable states such as resonances by analyzing the inverted Rosen-Morse potential, which exhibits barrier resonance. This model allows exact solutions, enabling a direct comparison with exact WKB predictions. We provide a simple analytic picture of resonance and demonstrate consistency between exact and WKB-based results. A unified exact WKB framework is developed for exploring the equivalence and complementarity of different well-established regularizations \`a la Zel'dovich, complex scaling, and rigged Hilbert space within this framework.
会場: セミナー室 (359号室) 3階 359号室とZoomのハイブリッド開催
イベント公式言語: 英語
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セミナー
Asymptotic Waves in Stars
2025年4月23日(水) 14:00 - 15:30
Jim Fuller (Professor, Division of Physics, Mathematics, and Astronomy (TAPIR), California Institute of Technology (Caltech), USA)
Waves propagating through stars often have very short wavelengths in the radial direction, enabling WKB approximations that facilitate understanding. The main types of waves that propagate in stars are acoustic waves (restored by pressure forces) and gravity waves (restored by buoyancy forces). I will also discuss how the properties of these waves are changed by rotation (adding Coriolis and centrifugal forces) and magnetic fields (adding Lorentz forces). Finally, I will discuss how these waves carry energy and angular momentum through stars, and discuss some potential consequences for stellar evolution.
会場: セミナー室 (359号室) 3階 359号室とZoomのハイブリッド開催
イベント公式言語: 英語
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セミナー
asymptotics in astrophysics SG session 4: helioseismology
2024年11月29日(金) 10:30 - 12:00
嶌田 遼太 (京都大学 大学院理学研究科 宇宙物理学教室 博士課程)
Constraining the distribution of internal magnetic fields through observations is considered to advance solar dynamo models aimed at understanding the 11-year cycle of solar magnetic activity. This paper [1] is on the frequency shift of standing acoustic waves inside the Sun caused by internal magnetic fields. Quasi-degenerate perturbation theory is applied to treat perturbation by magnetic fields. I’d like to discuss their methods and application in the session.
会場: セミナー室 (359号室) / via Zoom
イベント公式言語: 英語
3 イベント