• Non ci sono risultati.

Quantum Mechanics September, 14 2017, II part

N/A
N/A
Protected

Academic year: 2021

Condividi "Quantum Mechanics September, 14 2017, II part"

Copied!
1
0
0

Testo completo

(1)

Quantum Mechanics September, 14 2017, II part

PROBLEM A

The normalized wave function for a particle is

ψ(x, y, z) = xK(x

2

+ y

2

+ z

2

)

What is the probability that a measure of L

2

gives 0? What are the possible values for a measure of L

z

and what are their associated probabilities?

PROBLEM B

A harmonic oscillator is found in a generic superposition of the first and second excited states

|ψi = α|1i + β|2i

in such a way that its average momentum is zero and its average energy is 2¯ hω. Determine the coefficients α, β.

PROBLEM C

Let us consider a two level system described by the following hamiltonian:

H

0

= − ¯ hω

2 |0ih0| + hω ¯ 2 |1ih1|

At the time t = 0 the system is in the ground state |0i and the perturbation V (t) = 



e

iΩt

|0ih1| + e

−iΩt

|1ih0|



is turned on. Determine, using the time-dependent perturbation theory, the probability to find the system at the time t in the excited state |1i at the first order in . Determine also the time (if any) at which the system returns to the ground state.

1

Riferimenti

Documenti correlati

Nevertheless, following the declaration of lockdown, such technocratic politics based on a strong dialogue between government and experts with a progressive marginalisation

Although “current stress” in relation to the child vignette was only associated with a higher level of endorsement of an educational psychologist, we found multiple associa-

– The spread of Covid-19 in the Middle Eastern region is not attributable only to Shiites, but to an international mobility of people and business people who gravitated to the

Gait kinematics was assessed before and at the end of the rehabilitation period and after a 3-month follow-up, using concise measures (Gait Profile Score and Gait Variable Score,

In questo scenario si inserisce l’esperienza del Building Future Lab Laboratorio di Ricer- ca Operativa Permanente dell’Università Mediterranea di Reggio Calabria, Dipartimento

The differences between the matric head profiles retrieved by assimilating soil water contents instead of matric heads are entirely related to the nonlinearity of the

Productivity changes reflect both technical efficiency change (how far the average country is from the best practice frontier) and technological change (shift in

The patient presented in the clinical case, even though not showing hepatic metastases during diagnosis, developed secondariness two years after surgical operation.. Actual guide