Hi,

    I would like to take part in Google Summer of Code and Symbolic Quantum 
Mechanics ideas project. I am a 5th year student of applied physics 
department, and quantum mechanics is certainly a part of my education, as 
well as scientific work (bachelor and master projects carrying out in the 
Institute of Physics NASU). As physics, and quantum mechanics(QM) in 
particular, are the things I'm really interested in, I would like to 
implement some ideas into SymPy. As a part of my study and scientific work, 
I used extensively C/C++ and Python languages. SymPy is a convenient and 
useful tool so improving it will be a remarkable experience.

    Abstract Dirac Notation and Implementing of all known Analitical 
Solutions to QM systems are the projects I want to participate in. The 
second project mentioned is mainly based on physics knowledge, while the 
first one can be a challenge in coding in some places. However, I can cope 
with any of these two ones. Concerning Abstract Dirac Notation, the 
perturbation theory (dealing with both generate and nongenerate unperturbed 
states of the system) and variational Ritz method are the parts I would 
like to implement into sympy.physics.quantum. If the things go well, the 
next step will be the scattering theory. 
    As to Implementing of Analitical Solutions, I want to realize solutions 
not only mentioned in Ideas page, but also add cases of special potentials, 
leading to Hyper-geometric function solutions, and also the ones given as 
series etc. Testing these systems and making them better to use (including 
clear documentation) is a significant task too.      

    I understand that the students application will soon come to an end but 
I shall willingly hear your comments and ideas concerning these projects.

    As for the patch requirement, I'm currently finishing some of #TODO 
tasks in gaussian optics module.

Best regards, Alexandr Popov.  

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