GSoC 2012 Application Alexandr Popov: Quantum Mechanics

[alexandr popov]

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.