- #1
- 2,637
- 786
I hope somebody is familiar with the discussion on the identical particles in Quantum Mechanics by L. Ballentine. In particular can someone help me explain how the author derive equation (17.44) from (17.41). In case your edition is different from mine, equation (17.44) is the one which looks like
##
V = \frac{1}{4} \Sigma_\alpha \Sigma_\beta \Sigma_\gamma \Sigma_\delta <\alpha \beta|\upsilon|\gamma \delta> C_\alpha^+ C_\beta^+ C_\delta C_\gamma##
I have tried using the relations appearing in between those two equations mentioned above but nothing good coming out. And final question, do you know whether this formalism of creation and annihilation operators introduced in the corresponding chapter in this book will find frequent use in the typical discussions of many electron atom/molecule, that is bound systems? I don't want spend too much time on a subject which I probably encounter so often.
##
V = \frac{1}{4} \Sigma_\alpha \Sigma_\beta \Sigma_\gamma \Sigma_\delta <\alpha \beta|\upsilon|\gamma \delta> C_\alpha^+ C_\beta^+ C_\delta C_\gamma##
I have tried using the relations appearing in between those two equations mentioned above but nothing good coming out. And final question, do you know whether this formalism of creation and annihilation operators introduced in the corresponding chapter in this book will find frequent use in the typical discussions of many electron atom/molecule, that is bound systems? I don't want spend too much time on a subject which I probably encounter so often.
Last edited: