Accurate numerical approach to Quantum Mechanics
Tipus de documentTreball d'assignatura
Data publicació2018
Curs acadèmic2017/2018
EditorUniversitat Politècnica de Catalunya
AssignaturaPROJECTES D'ENGINYERIA FÍSICA 2 - 230477
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
Quantum Mechanics is considered as one of the most weird branches in physics with the most,
although accurate, counter intuitive predictions. The problem lies not on the theory but on what it is
trying to explain: the microscopic world. Moreover, due to the complicated form of the Schrödinger
equation, there are only few examples where an analytical solution to the problem exists. Therefore,
the motivation of this paper is to explore the effects of Quantum Mechanics solving the Schrödinger
equation numerically for different potentials. Firstly, the algorithms and the numerical methods
used to calculate the eigenvalues and the eigenstates are explained. Subsequently, on the results
section, the numerical system is stressed to find out its precision and the method is used for two real
models: the ammonia molecule and the hydrogen atom. Finally, an applet that uses the numerical
system of this paper is discussed.
Fitxers | Descripció | Mida | Format | Visualitza |
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accurate_numeri ... h_to_quantum_mechanics.pdf | Accurate numerical approach to Quantum Mechanics / Miquel Bosch, Guillem Megías and Gerard Pascual | 1,398Mb | Visualitza/Obre |