# Questions tagged [fermis-golden-rule]

The tag has no usage guidance.

119 questions
Filter by
Sorted by
Tagged with
38 views

28 views

### Harmonic perturbation in interaction of radiation with quantum system; making sense of approximation of the integral

In the chapter "The interaction of quantum systems with radiation" (Quantum physics book by Bransden and Joachain, 2nd edition) section 11.2 "Perturbation Theory for harmonic ...
1 vote
65 views

### Confusion regarding Fermi's golden rule

The Fermi Golden Rule is: $$\Gamma_{i\to f}=\frac{2\pi}{\hbar}|\langle f|H'|i\rangle|^2\rho(E_f)$$ In this equation, $|\langle f|H'|i\rangle|$ is giving information about the coupling. However, $f$ ...
1 vote
62 views

• 1,517
1 vote
79 views

### How to deal with the appearance of delta functions in differential cross sections?

I've recently started learning quantum field theory, and I'm on chapter 3 of Hatfield's Quantum Field Theory of Point Particles and Strings. I was flipping through the book today, and I came across an ...
1 vote
112 views

• 72
1 vote
54 views

### How does one use Fermi's Golden Rule to calculate two-body rate of collision for a 1-D Fermi gas?

I am trying to verify a simulation I made of a bunch of non-interacting fermions (except elastic collisions) in a harmonic potential by comparing the rate of collisions from my simulation by using a ...
• 1,369
429 views

### Transitions in constant perturbations using time independent perturbation theory

The perturbed Hamiltonian is given as. $$H=\begin{cases} H^{(0)}&\text{for }t\leq 0 \\ H^{(0)}+V(x)&\text{for }t>0\end{cases}.$$ Here $V(x)$ does not depend explicitly on time but it can ...
• 261
40 views

143 views

### Justification and interpretation of Fermi Golden Rule (second order) in Resonance Energy Transfer (RET)

I hope someone can give me some new insight to understand this. Fermi's golden rule is wildly used to calculate the rate for RET. I have some difficulties in understanding its justification and ...
• 69
95 views

### Photoelectric effect in hydrogen: evaluating the matrix element integral

I'm following page 503 of Shankar's Principle of Quantum Mechanics. The author is discussing the photoelectric effect and transition from the hydrogen ground state to a plane wave. Applying the ...
• 49
1 vote
141 views

### Probabilities of transitions given by Fermi's golden rule

We were deriving Fermi's golden rule from first applying a weak time dependant (periodic) perturbation and then looking at first order changes to the Hamiltonian. We found that the probability of ...
• 1,427