Correct way to calculate eigenenergies

Physics Q&A
1

Hello,

There is a different calculation for the eigenenergies used in the book:

Eigenenergie_book
Eigenenergie_book790×472 172 KB

Is the calculation on the forum still the correct way to approach this problem?

Eigenenergie_forum
Eigenenergie_forum670×220 9.83 KB

Kind regards,
Vincent

2

You have to give more information here: what difference are you talking about?

3

The website uses E_0 -/+ t and the book uses E_0 +/- | t | . So the website has a minus-plus and the book: plus-minus with absolute t. I don’t see how plus-minus with absolute t is the same as minus-plus without absolute t.

4

I see. In that case, your question is about notation, and not about the solutions being different. In the lecture notes we choose the signs such that E_+ corresponds to the symmetric wave function. In the book E_+ corresponds to the state with the higher energy.