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We can solve Schrodinger equation since it's just differential equation with complex number

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- Thread starter kahoomann
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- #1

- 58

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We can solve Schrodinger equation since it's just differential equation with complex number

- #2

Mute

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http://en.wikipedia.org/wiki/Sturm-Liouville_theory

Basically what the separated equations look like is

[tex]\mathcal{L}u = \lambda u[/tex]

where [itex]\mathcal{L}[/itex] is a linear differential operator acting on the function u and [itex]\lambda[/itex] is the eigenvalue, which is the separation constant introduced from separating the PDE. This is just a generalization, if you like, of the case in linear algebra, where the operator would be a matrix and u would be a vector. One difference between the two cases is that in linear algebra the eigenvalue spectrum is finite, whereas in the Sturm-Liouville theory it is generally infinite.

- #3

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Dear friend i dont know much of physics,but to me,its called eigen value equation bcoz we can write it in simple form as

H(psi) = E(psi)

H being hamiltonian or total energy of system,and E being energy eigen value.

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