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Results tagged with generalized-functions
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user 51290
2
votes
0
answers
120
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Linear dynamical system with discontinuous coefficients
I am solving a linear dynamical system $X'=A(t) X$, where $t$ is the independent variable and $A(t)$ is a square matrix. Some of the coefficients of $A(t)$ have a discontinuity at a certain value of $ …
5
votes
3
answers
1k
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Make mathematical sense of the Dirac well Potential Equation
A classical problem in quantum mechanics involving the Dirac Delta function is given by
$$
y''+(\delta(x)-\lambda^2)y=0.
$$
Then, to find ''bound states'', you solve on the right and find the converg …