A First Course in String Theory

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Write a double sum that represents the statistical mechanics partition function for the quantum mechanical system considered in Section 2.10. Note that factors as .

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Eq. (2.118):

Eq. (2.119):

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[guess]

Index but not negative integers because, for example, and give physically identical states

and .

The two wave functions give the same probability density distribution, if .

However, that is not the case for

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So should have also negative integers as possible values: .

[guess]

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Eq. (2.120):

Eq. (2.121):

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— Me@2022-01-19 08:45:05 PM

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