astronomy

Takeo Matsubara

Takeo Matsubara is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Takeo Matsubara rather than just read about it. In short: Takeo Matsubara (松原武生, Takeo Matsubara; April 3, 1921 - December 15, 2014) was a Japanese physicist. Matsubara proposed a method of statistical mechanics related to Green's function (many-body theory), by applying quantum field theory techniques to statistical physics.

Key takeaways

Takeo Matsubara belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Takeo Matsubara to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Takeo Matsubara from memory before moving on to harder problems.

Reference excerpt

Takeo Matsubara (松原武生, Takeo Matsubara; April 3, 1921 - December 15, 2014) was a Japanese physicist. Matsubara proposed a method of statistical mechanics related to Green's function (many-body theory), by applying quantum field theory techniques to statistical physics. This method, commonly known as Matsubara Green's function technique, introduces the notion of imaginary time, and the reciprocal variable to this imaginary time is known as discrete Matsubara frequency. Matsubara graduated from Osaka Imperial University, and worked as full professor in Hokkaido University, Kyoto University, and Okayama University of Science. He was the winner of the Nishina Memorial Prize in 1961, and took the directorship of the Physical Society of Japan. His work with Yukata Toyozawa on impurity bands in semiconductors has led to the Matsubara-Toyozawa model that describes the motion of an electron in a random lattice. His research interests were dielectric materials, superconductivity and superfluidity. He wrote various physics textbooks in Japanese.

References

External links Kotobank.jp [2]

Worked examples

Example 1 — a first encounter with Takeo Matsubara

Start with the simplest possible case. Write down what Takeo Matsubara claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Takeo Matsubara before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Takeo Matsubara ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Takeo Matsubara

In research: Takeo Matsubara appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Takeo Matsubara in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Takeo Matsubara is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1921 births, 2014 deaths, Academic staff of Hokkaido University, so understanding it makes those chapters shorter.
In everyday life: Look for Takeo Matsubara outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Takeo Matsubara in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Takeo Matsubara means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Takeo Matsubara out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Takeo Matsubara in simple terms?

Why does Takeo Matsubara matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Takeo Matsubara?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Takeo Matsubara.