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A "fault" in solving 2D Schrodinger Equation
Posted 18 nov. 2011, 01:16 UTC−5 Studies & Solvers 1 Reply
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Hi,
I'm now calculating the wave function of a single electron in Schrodinger Equation model. But I have encountered a problem. There are two coefficients used in the model, namely "c" and "a". I set "a" as the electric potential and "c" as 1.905e-19 which is calculated by the kinetic term in Schrodinger Equation. However, when I solve the model, Comsol gave me a 'bumpy' answer (see the attachment 'The ground state.jpg' ). It is obvious a wrong answer for the ground state since the electric potential is not very bumpy (see the picture 'The electric potential.jpg' in the attachment).
When I set "c" as 1.905e-16, nevertheless, Comsol gave the right answer, which is shown in the attachment "The ground state 1e-16.jpg".
Is this an accuracy problem in Comsol? Is there any way to solve it? This is a really critical problem to me because I have to set the coefficient in a very low order of magnitude every time when I solve a Schrodinger Equation problem.
Thank you!
I'm now calculating the wave function of a single electron in Schrodinger Equation model. But I have encountered a problem. There are two coefficients used in the model, namely "c" and "a". I set "a" as the electric potential and "c" as 1.905e-19 which is calculated by the kinetic term in Schrodinger Equation. However, when I solve the model, Comsol gave me a 'bumpy' answer (see the attachment 'The ground state.jpg' ). It is obvious a wrong answer for the ground state since the electric potential is not very bumpy (see the picture 'The electric potential.jpg' in the attachment).
When I set "c" as 1.905e-16, nevertheless, Comsol gave the right answer, which is shown in the attachment "The ground state 1e-16.jpg".
Is this an accuracy problem in Comsol? Is there any way to solve it? This is a really critical problem to me because I have to set the coefficient in a very low order of magnitude every time when I solve a Schrodinger Equation problem.
Thank you!
1 Reply Last Post 18 nov. 2011, 18:28 UTC−5
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Posted:
1 decade ago
Does anybody have an idea?