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Results tagged with mp.mathematical-physics
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user 20838
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
6
votes
2
answers
272
views
Gap-opening perturbations of the periodic Schrödinger operator
I am trying to understand this short paper and I am getting stuck right at the end.
Let $V(x)$ be $C^\infty$ and 1-periodic (that is, $V(x)=V(x+1)$).
We are considering the operator
$$A=-\dfrac{d^2 …
- 785
4
votes
1
answer
130
views
Moments of the position operator and wavepacket spreading
I've noticed that when papers in mathematical physics concern themselves with the rate at which a wavepacket spreads, they almost always try to bound the moments of the position operator (the operator …
- 785
1
vote
0
answers
229
views
Floquet-Bloch solutions of the quasiperiodic Schrödinger equation
I am concerned about the Schrödinger equation
$-x''(t)+q(t)x(t)=Ex(t).$
Here, the potential $q$ is real and quasiperiodic with frequency vector $\omega$. That is, we let $T^d$ be the $d$-dimensional …
- 785