Hello,
I am Anurag , a 3rd year undergrad from BITS Pilani,India . I am pursuing a
dual degree M.Sc Physics and B.E Computer Science there. I wasn't aware of
the sympy module till this year but after using it, I found it very
effective.Being in 3rd year, I have covered all major Physics courses
including Quantum Mechanics 1/2 , Computational Physics, Nuclear,
Atomic/Molecular etc. So I have a fair understanding of the quantum
theories. I would like to contribute to the open source software and be
part of GSoc '14.
The ideas/topics i would like to cover -
1. *Abstract Dirac Notation* -
With all the basic notations present such as ket,bra, dagger etc. , we
can move on to make it more dynamic instead of having something specific.
I would like to implement the *Perturbation Theory* ( time dependent and
independent) as well as the *Scattering Theory*(elastic/inelastic) and
s-wave scattering.
2. *Specific Operators*-
I tried to look for the specific operators but didn't find one. So we
can move on to develop/implement the specific operators like *Angular
Momentum Operator*(L),Lx,Ly,Lz as well as *Spin Operator*(S) , *Total
Momentum Operator* (J) and the eigenvalues associated with it/ how it
affects the state of the wavefunction.
Basically we can introduce the ladder operator and see the allowed
state transitions.
3. *Stochastic Equations*-
We have generally solved the deterministic equations throughout. We can
introduce randomness and solve the stochastic equations using ido operator.
This might help in more generalized real time analysis which we can further
use in Quantum Finance.
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