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BSc in Physics at the National Autonomous University of Mexico (UNAM). Currently doing an MRes+PhD at the Centre for Doctoral Training in Controlled Quantum Dynamics at Imperial College London.


May
8
awarded  Yearling
Mar
13
comment Fourier and Legendre series
The procedure is the same for both: write $f$ as a sum of basis functions with unknown coefficients, multiply by some other basis function $f_n$, integrate, and use the orthogonality properties to get an expression for the corresponding coefficient $c_n$. The generating function won't help you much.
Feb
20
awarded  Critic
Feb
19
comment Good examples of Ansätze
That's definitely the case if you think of the Ritz wavefunction as an approximation of the actual ground state, which is touchy and depends on the initial basis. However, you do get a perfectly rigorous bound on the lowest eigenvalue.
Feb
19
awarded  Nice Question
Feb
16
awarded  Organizer
Feb
16
revised Calculate an integral involving Hermite polynomials
Added special-functions and orthogonal-polynomials tags.
Feb
16
suggested suggested edit on Calculate an integral involving Hermite polynomials
Feb
16
answered Calculate an integral involving Hermite polynomials
Feb
8
awarded  Student
Feb
7
asked Good examples of Ansätze
Jan
15
awarded  Supporter
Sep
16
answered “proof” A is a Hermitian Matrix
Jul
26
comment How do I get insight into equations with the $\sum$ notation without actually expanding it for a specific n every time?
...eliminate the $\Sigma$s using the Einstein summation convention ;).
May
8
awarded  Teacher
May
7
answered Calculating major axis of an ellipse