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Jan
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Jun
24
comment An integral involving the Bose-Einstein distribution
I thought of it, but I didn't use the approximation because when $k=0$ also $E_k = 0$ and the assumption doesn't hold. However using it I'm able to obtain the result, so apparently that's the way to go, and there should be some argument according to which the low $k$ modes do not count. Thank you very much!
Jun
20
comment An integral involving the Bose-Einstein distribution
I don't think I need to list every single way I know of solving an integral that didn't work in this case... Do I? As per site rules I would have shared relevant work which may be useful. Of course I do not share work which turned out to be useless, or which showed that the method does not work here. However, as you ask, substitution does not work because, as the expression is not analytical in T there is no way of obtaining a T-expansion. By definition the saddle point method is not applicable, as the integrand grows indefinitely and there is no point to saddle.
Jun
20
asked An integral involving the Bose-Einstein distribution
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Sep
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revised Alignment of a system in equilibrium and its potential energy
Fixed grammar
Sep
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suggested approved edit on Alignment of a system in equilibrium and its potential energy
Aug
30
comment What measurement of time is so small that it qualifies as quantum?
en.wikipedia.org/wiki/Planck_time
Aug
24
comment Is passing on knowledge/information from one body to another and the resultant state is ever studied as any branch of physics?
You may be interested, speaking of Physics, in the concept of entropy, Shannon information theory, quantum information, Kolmogorov complexity. Look them up on Wikipedia, you may like them. However, as already noted, seems like your question (and, most of all, your example) could be better answered in a Biology forum.
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Aug
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accepted Mapping a continuum XY model to a discrete one
Aug
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answered What is $c + (-c)$?
Jul
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revised Mapping a continuum XY model to a discrete one
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revised Mapping a continuum XY model to a discrete one
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asked Mapping a continuum XY model to a discrete one
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