Antisimmetria e Pauili

Question 1

What is the consequence of the antisymmetry of the wave function for two identical fermions?

Answer 1

The consequence is that the wave function must be antisymmetric for the exchange of two identical fermions, and therefore two fermions cannot occupy the same quantum state simultaneously.

Question 2

What is the difference between the classical and quantum description of identical particles?

Answer 2

In classical mechanics, identical particles can be distinguished based on their trajectories, while in quantum mechanics, identical particles are indistinguishable and can only be described in terms of probabilities.

Question 3

What is the equation for the normalization of a wave function considering spin momentum?

Answer 3

< Ψ | Ψ >= ∑ ms ∫ | Ψ |2 dxdydz = 1

Question 4

what are the possible values of C(pauli)?

Answer 4

The two possibilities are that the eigenvalues are either +1 or -1.

Question 5

What is the equation for the combination of a symmetric and an antisymmetric function?

Answer 5

F (q1, q2, ……qn) = 1/2 [F (q1, q2, ….) + F (q2, q1, ….)] + 1/2 [F (q1, q2, ….) − F (q2, q1, ….)]

Question 6

How can a many-electron function be written?

Answer 6

Ψ(q1, q2, …….) = Ψ(x1, y1, z1, ms1, x2, y2, z2, ms2, ……)

Question 7

What is the difference between fermions and bosons?

Answer 7

Fermions obey the Fermi-Dirac statistics and have half-integer spin, while bosons obey the Bose-Einstein statistics and have integer spin.