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Results tagged with physics
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user 32389
For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
8
votes
Companion to theoretical physics for working mathematicians
Grand Tour of Theoretical Physics, by Ian D. … Truly comprehensive systematic introduction to theoretical physics can be found in the (many-volume) well known "Course of Theoretical Physics" by Landau and
Lifshitz: http://en.wikipedia.org/wiki/Course_of_Theoretical_Physics …
2
votes
$\zeta$-function regularized determinants
Of course that $1+2+3+4+\ldots =-1/12$ is a "correct" result is somewhat mysterious, as the following excerpt from Ramanujan's second letter to Hardy lively demonstrates:
"I was expecting a reply …
- 16.5k
1
vote
Path integrals for stochastic equations
Unlike Euclidean path integral which can be based on the Wiener measure, there is no mathematically rigorous foundation for the Feynman path integral. For various attempts in this direction see http: …
- 16.5k
8
votes
Why the unreasonable applicability of complex numbers in physics/engineering?
But are complex numbers really essential in physics? The usual argument is based on the Heisenberg's uncertainty principle in the form $[\hat x,\hat p]=i\hbar$. … With these developments there arose a basic tenet of today's physics: all fundamental forces are phase fields (Yang, 1983). …
- 16.5k
6
votes
Accepted
On mathematical studies of the Mpemba effect
Some useful information about Mpemba effect can be found here https://math.ucr.edu/home/baez/physics/General/hot_water.html
By the way it seems the competition already has a winner: http://www.rsc.org/ …
- 16.5k