P334 fundamentals

Question 1

what does sueprpositibility impose on WE

Answer 1

wave equation must obey a linear eqn, turns out it is the SE,

Question 2

Debroglie hypothesis

Answer 2

p = h k

Question 3

Where did SE derived from

Answer 3

Reflecting the dispersion relation expeced using E = h omega and de broglie (p = hk

Question 4

What is the EOM in quantum mechanics

Answer 4

E

w/ normalisation also imposed

Question 5

General fautire of normalisability

Answer 5

Makes surface integral dissapeak

Question 6

Can the expectation val be time dep

Answer 6

Yes

Question 7

p in 3d is ?

Answer 7

p_op = -i h nabla

Question 8

Hermitian operators associated with what LA

Answer 8

Matrices

Question 9

Expepactation values

i.e. Integrals over obsevable w/ wf’s in QM are akin to what in LM

Answer 9

matix elements of matrices (where matrix is the observable itself)

Question 10

Correspondence principle of QM

Answer 10

1. observables are represented by hermitian operators (that act on WF)
2. calssical relations hold for expectation values

(also Bohr’s corr principle)

Question 11

Bohr’s correspondence principle

Answer 11

Classical relation hold for large quantum numbers (energies)

Question 12

Moving the derivative over results in what

Answer 12

an extra minus

Derivative is anti-hermitian