QM 1

Question 1

vector space with an inner product between its elements

Answer 1

hilbert space

Question 2

physical quantities are called

Answer 2

observable quantities

Question 3

every observable is represented by a hermitian operator for __

Answer 3

closed systems

Question 4

the QM state of a particle/system is represented by a ___

Answer 4

wavefunction

Question 5

hermitian operators have a complete set of ___

Answer 5

orthogonal eigenfunctions

Question 6

n = ___

Answer 6

principle quantum number

Question 7

L = ___

Answer 7

azimuthal quantum number

Question 8

m = ___

Answer 8

magnetic quantum number

Question 9

when ___ is placed in a homogenous ___ it precesses around ___ with ___

Answer 9

magnetic moment/ magnetic field/magnetic field/angular frequency

Question 10

curl of grad of any function is ___

Answer 10

zero

Question 11

two different vector potentials can give same ___

Answer 11

magnetic field

Question 12

physical quantities are always ___ invariant

Answer 12

gauge

Question 13

energy levels of charged particle in magnetic field are ___ discrete levels

Answer 13

equally spaced

Question 14

plane wave does not represent free particle motion as

Answer 14

energy does not include kinetic energy term of free particle

Question 15

Lmax gives ___ of each Landau level

Answer 15

degeneracy

Question 16

the set of one-particle eigenfunctions forms a ___ in the hilbert space

Answer 16

complete set

Question 17

RR variational principle is used in

Answer 17

approximations to obtain upper bounds to ground state energy of Hamiltonian