Question

Eight electrons are confined to a two-dimensional infinite potential well with widths $L_X = L y =L$. Assume that the electrons do not electrically interact with one another. Considering electron spin and degeneracies of some energy levels, what is the total energy of the eight-electron system in its ground state, as a multiple of 8mL2 )? It may be useful to make a table of a few lowest energy levels. Your answer must be an integer.

I got an answer of 42, but it was incorrect. Can anyone show me the right answer?

Answer 1

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Energy eigenvalue in 2d podaw na in 123 242 of my min No2 Hal Jo To lapenergy - los banaliyah) = 24 e C12712) p. 2m Am 2 (92423) 7 28 30 2012 (224399 * 2n Tempat (427 40) 2012 ( 24 24 2481. 2018+ 24 321 = 120 5262 , 120 x 1242cm > 120* FORMARE Amma ny =1) Eposjastih (nae ny z2), (mmeny=3), COMA Mag 21) 22x2 2m22 each level contains moyrmum 2 electrons as degenandey - (25+19= (24Xz+ 9) z 2. sospin Scanned with CamScanner