Explore BrainMass

Explore BrainMass

    States probabilities

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    An angular momentum system is prepared in the state

    |Psi> = 1/Sqrt(10) ( |1 1> - 2|1 0> + 2i|2 2> + i |2 0>)

    What are the possible results of a measurement of the squared angular momentum L_hat^2 and with what probabilities would the occur?

    Can you please show me a step by step solution for how to solve these type of questions.

    © BrainMass Inc. brainmass.com March 5, 2021, 1:45 am ad1c9bdddf
    https://brainmass.com/physics/schrodinger/states-probabilities-616898

    Solution Preview

    Hello and thank you for posting your question to Brainmass.
    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

    Let the basis of the system be represented by a set of orthonormal eigenfunctions
    Since this functions are orthonormal they satisfy:
    (1.1)
    We can write any wavefunction as a linear combination of the eigefunctions:
    (1.2)
    The probability to find the system is state is the modulus-square of the projection of on ...

    Solution Summary

    The solution shows in detail how to get the possible values of an obesrvable and the measuremant probabilities using the linear combination representation.

    $2.49

    ADVERTISEMENT