Physics, 10.07.2019 23:40, chriscook4471
In this problem we consider low-energy excited states of two electrons inside a one-dimensional box with length a, which can be approximated as products of the =1 and n=2 particle-in-a- box eigenfunctions. in other words, the electronic configuration is that having one electron occupying the n=1 level and the other electron occupying the n =2 level. note that for a single n'h , and the eigenfunction ,(x) nsin 8ma particle in a box, the energy level e, = (a) (2%) the spatial part of the two-electron wavefunction can be written as 1 = (1)0, (2)t 0,(2)0, (1). explain why a simple product such as (1)e, (2) is not a valid two-electron wavefunction. (b) (4%) consider the spin part of the wavefunction. using the pauli exclusion principle, show four possible spin-adapted wavefunctions for this configuration. give the four full that there are (spatial+spin) wavefunctions. (c) (2%) separate the four states into a triplet manifold and a singlet manifold i = llo) aelx- ) dx, dx, and (d) (5%) define the integrals j (x, ,)dx, dx, . evaluate the energies of the singlet and 41 triplet states to show that 'e= e,+j+k and 'e= e, +j-k. what is e,? (e) (2%) according to the previous results, what is the multiplicity of the first excited state of the two-electron system?
Answers: 1
Physics, 22.06.2019 21:40, iancuteodora30
Ahair dryer is basically a duct in which a few layers of electric resistors are placed. a small fan pulls the air in and forces it through the resistors where it is heated. air enters a 1200 w hair dryer at 100 kpa and 22°c and leaves at 47°c. the cross-sectional area of the hair dryer at the exit is 60 cm2. neglecting the power consumed by the fan and the heat losses through the walls of the hair dryer, determine (a) the volume flow rate of air at the inlet and (b) the velocity of the air at the exit.
Answers: 1
Physics, 22.06.2019 23:00, lesmontoya10
Identify the type of heat transfer occurring when chocolate melts in your hand
Answers: 1
In this problem we consider low-energy excited states of two electrons inside a one-dimensional box...
Mathematics, 05.03.2020 22:56