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2 votes
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The meaning of a representation in one-dimensional quantum mechanics

In abstract terms the meaning of representation in these cases is the ordinary meaning of representation in the sense of representation theory. Concretely, you are representing the Heisenberg algebra ...
ACuriousMind's user avatar
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Can Lee-Yang zeros theorem account for triple point phase transition?

After analyzing the proposal of this question from various aspects, I fear that I have reached a negative answer for the use of the Lee-Yang theorem to study phase equilibria, particularly for the ...
Alfredo Maranca's user avatar
2 votes

Why we use trace-class operators and bounded operators in quantum mechanics?

The effects are not Hilbert Schmidt in general, so to identify them with HS operators would be too restrictive. However, even if density operators are just a part of the Hilbert-Schmidt operators, the ...
Valter Moretti's user avatar
5 votes
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Why we use trace-class operators and bounded operators in quantum mechanics?

I think Tobias F√ľnke has essentially answerered this question already, but to be as explicit as possible: we need the states to be trace-class so we can obtain normalized probabilities (just as in the ...
ors's user avatar
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1 vote
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Non-uniqueness of Glauber-Sudarshan $P$-function

As was previously mentioned in the comments, the decomposition formula $$\rho = \int \mathrm d^2\alpha P_\rho(\alpha) |\alpha\rangle\!\langle\alpha|,$$ uniquely determines the structure of $P_\rho(\...
glS's user avatar
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