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what is meant by landau level broadening in a magnetic field????

- Thread starter Muneer QAU
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- #1

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what is meant by landau level broadening in a magnetic field????

- #2

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The scope of energy level get large.

- #3

- 980

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- #4

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- #5

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Thanks xiyangxixia can you elaborate the term the scope of energy level????

- #6

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- #7

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Thanks genneth for such a nice favour :)

- #8

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i read that real and imaginary parts of a complex number can be separated by following equation

1/x+iη=P(1/x)-iδ(x)

where P is principal of x i dunt understand this equation can any 1 explain this?????????

- #9

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Your equation is meant only in a distributional sense, i.e. they give the same thing if you integrate them with a test function.

- #10

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i read that real and imaginary parts of a complex number can be separated by following equation

1/x+iη=P(1/x)-iδ(x)

where P is principal of x i dunt understand this equation can any 1 explain this?????????

the simplest example is if you have

\int \frac{f(x)}{\text{i$\epsilon $}+x} \, dx

so sometimes it is usefull to rewrite it in way

\int \frac{f(x)}{\text{i$\epsilon $}+x} \, dx=P \int \frac{f(x)}{x} \, dx-i \pi f(x)

where P means that you integrate in terms of principal value

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