QM 2

Question 1

identical particles are in principle ___

Answer 1

indistinguishable

Question 2

physical eigenfunctions of H for identical particles are ___ of operator P

Answer 2

eigenfunctions

Question 3

when two operators commute we can choose a common set of ___ due to ___

Answer 3

eigenstates/degeneracy

Question 4

lambda = 1 class

Answer 4

bosons

Question 5

lambda = -1 class

Answer 5

fermions

Question 6

bosons are spatially ___

Answer 6

symmetric

Question 7

fermions are spatially ___

Answer 7

antisymmetric

Question 8

when two identical particles are described by a spatially symmetric wavefunction, it appears as if there is an ___

Answer 8

effective force attracting them

Question 9

when two identical particles are described by a spatially antisymmetric wavefunction, it appears as if there is an ___

Answer 9

effective force repelling them

Question 10

subtract two solutions to obtain ___ wavefunction

Answer 10

antisymmetric

Question 11

eigenfunction for ground state is a product of a ___ space part and an ___ spin part

Answer 11

symmetric/antisymmetric

Question 12

spin state of two spins is an ___ of both S^2 and Sz

Answer 12

eigenstate

Question 13

for excited state, all 4 wavefunctions are products of ___x___ part and are eigenstates of ,,,

Answer 13

space/spin/H/P/S^2/Sz

Question 14

all eigenstates are degenerate when there is no ___

Answer 14

e-e repulsion

Question 15

for fermions, probability of finding two particles in the same state is ___

Answer 15

zero

Question 16

for bosons, probability of finding two particles in the same state is ___

Answer 16

higher than classically

Question 17

Hund’s rule: in an atom when all other things are the same, the state with ___ total spin has the ___ energy

Answer 17

highest/lowest (here the highest state is the triplet)