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Results tagged with mp.mathematical-physics
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user 5705
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
3
votes
1
answer
479
views
the Toda Lattice hierarchy of B and C type
In the K.Ueno and K.Takasaki's paper ``Toda Lattice hierarchy", advanced sdudies in pure mathematics 4(1984),pp1-95, they mentioned the Toda Lattice hierarchy of B and C type(we denote BTL and CTL hie …
- 67
3
votes
1
answer
139
views
What's the name of an algebra? is it isomorphic to $w_\infty \times w_\infty$?
Just as we know,
$w_\infty$:=span {${z^\alpha }\partial _z^\beta|\alpha,\beta\in\mathbb{Z}, \beta\geq0$ }.
But, what's the name of the following algebra,
span {$\{{z^{\alpha_1}}{y^{\alpha_2}}\partial …
- 67
0
votes
2
answers
383
views
Who can tell me the properties for the delta function in Sato's theory?
In Sato's theory, the following formal delta function is defined:
$\delta(\lambda,z)=\frac{1}{\lambda}\sum_{n=-\infty}^\infty(\frac{z}{\lambda})^n=\frac{1}{z}\frac{1}{1-\lambda/z}+\frac{1}{\lambda}\f …
- 67