Hint

Answer

What is the relationship for the probability of a process to occur with its constant at the vertex in question?

The probability is proportional to the constant squared

Give an example for a plane wave of a fermion (in terms of q, r and h bar)

e^(i(q.r)/h bar)

What does q represent in the above equation?

The momentum transferred to the fermion

In layman's terms describe what a Bornapproximation shows

How much of the particle’s wave function overlaps with the potential

What is needed to calculate the interaction probability?

The potential

How do we obtain the potential?

KleinGordon equation

What is the mass of a photon?

Zero

What is g in a calculation for the potential of a weak interaction?

Generic coupling constant

Finish Noether's first theorem: Every differentiable ________ of the ______ __ _ ________ ______ has a corresponding ____________ ___.

symmetry, action of a physical system and conservation law

Define the spin of a particle

A particle’s angular momentum in its own rest frame.

What are the smallest and largest values of total angular momentum (in terms of L and S)?

LS and L+S

Express J^2 in terms of J and h bar

J(J+1)(h bar)^2

Express J_z in terms of M and h bar

M(h bar)

True or false: Fermions and antifermions have opposite intrinsic parities?

True

Express Cparities in terms of L and S for a fermionantifermion pair

(1)^(L+S)

Express Pparities in terms of L and intrinsic Pparities

(1)^(L)*(P intrinsic)

Finish the sentence: CP violation causes a ________________ _________.

matter, antimatter and asymmetry

List all internal quantum numbers

Charge, Baryon number and Lepton number

True or false: All these internal quantum numbers are always conserved?

True

Define the baryon number in terms of number of quarks and antiquarks, defined as q and p respectively

1/3 * (qp)

True or false: The lepton number for leptons and antileptons is the same?

False

What is the magnitude of a boson's spin (generally) ?

An integer

What is the magnitude of a lepton's spin (generally)?

A halfinteger

True or false: Bosons have even wave functions and leptons have odd wave functions?

True

If we are in a frame S we are travelling in the xdirection at relativistic speeds what is our distance travelled in the S' frame? Give your answer in terms of a generic x, gamma, v and t

(gamma)(xvt)

What is the time in this S' frame? Give your answer in terms of a generic x, gamma, v, c and t

(gamma)(t(x*v)/(c^2))

Give the definition of the invariant mass

sqrt((E^2p^2*c^2)/c^4)

Finish this sentence: The ____ __ the ________ particle is equal to the _________ ____ of the decay products.

mass of, decaying and invariant mass
