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Adachi Lab
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A lab that uses mathematics to uncover how solutions to the equations of quantum mechanics behave.
AboutAbout the lab
Reading the equations of the quantum world through mathematics
The Adachi Lab studies mathematical physics, in particular partial differential equations using methods of functional analysis.
Its main subject is the Schrödinger equation, the fundamental equation of quantum mechanics, and the lab investigates how its solutions behave over time.
Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (at the graduate level, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Key terms
- Schrödinger equation
- The fundamental equation of quantum mechanics that describes how the state of microscopic particles such as electrons changes over time
- Scattering theory
- A theory that investigates how particles behave after a sufficiently long time, once they have collided and moved apart
ResearchResearch themes
The lab studies the existence and properties of solutions to partial differential equations that express physical laws, using methods of functional analysis such as Fourier analysis.
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MembersFaculty
- ProfessorTadayoshi Adachi
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Interference of Waves” Psgs123xyz / Public domain (cropped)
- Scattering theory for quantum mechanical systems: “Checkerboard Scattering Pattern ( )” National Institute of Standards and Technology / Public domain (cropped)
- Related lab (偏微分方程式論
（林 雅行） ): “Mach-reflection-solitons-Pesenson” Soliton 1983 / CC BY 4.0 (cropped) - Related lab (確率解析学（上木 直昌）
): “Random walk simulation” Sławomir Biały / CC BY-SA 4.0 (cropped) - Related lab (吉田研究室
（吉田 鉄平） ): “European Synchrotron Radiation Facility (ESRF) - Grenoble, France” Anders Sandberg from Oxford, UK / CC BY 2.0 (cropped) - Related lab (藤原研究室): “Diamond Anvil Cell - Cross Section-tr” Original work: Tobias1984, Translation: VectorVoyager / CC BY-SA 3.0 (cropped)
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