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I am trying to understand the variational principle

(E_n - E_0) >= 0

E_0 is the ground state of the system? E_n is nonground and will the nonground state than always have a higher energy than the ground state?

Thanks in advance

- Thread starter greisen
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- #1

- 76

- 0

I am trying to understand the variational principle

(E_n - E_0) >= 0

E_0 is the ground state of the system? E_n is nonground and will the nonground state than always have a higher energy than the ground state?

Thanks in advance

- #2

Gokul43201

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Science Advisor

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Yes, by definition. The ground sate is __defined__ as the state with lowest energy (i.e., if you know the energy spectrum of a system, you label the lowest energy state as the "ground state").

PS: The equation you wrote above is__not__ a statement of the variational principle.

PS: The equation you wrote above is

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- #3

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okay thanks for the answer

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