Variational theory

  • Thread starter greisen
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  • #1
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Hi,

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
 

Answers and Replies

  • #2
Gokul43201
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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.
 
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  • #3
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okay thanks for the answer
 
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