Measurement problem quantum mechanics

Thread starter Ashish Somwanshi
Start date Nov 9, 2022
Tags

Measurement Measurement problem Mechanics Quantum Quantum mechanics

Nov 9, 2022

Ashish Somwanshi

Poster has been reminded to always show their work on schoolwork problems that they post

Homework Statement: Suppose there are two quantum mechanical observables c and d represented by operators C and D respectively. Both operators have two eigenstates, ϕ1 and ϕ2 for C and ψ1 and ψ2 for D. Furthermore , the two sets of eigenstates are related to each other as below

ϕ1=1/13(5ψ1+12ψ2)
ϕ2=1/13(12ψ1−5ψ2)

The system was found to be in state ϕ1 initially.

If we measure D, what is the probability of finding the system in ψ2?

Relevant Equations: Born rule?

Is the answer 0.748?

Physics news on Phys.org

Nov 9, 2022

BvU

Science Advisor

Homework Helper

How did you get that ?
And: what if it is ?

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

##\ ##

Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW

View full post »