A problem of Quantum Mechanics, .

[Yuli10]

Homework Statement

https://www.physicsforums.com/attachment.php?attachmentid=36163&stc=1&d=1307210405"

Homework Equations

i wasn't able to solve task no. 2.

The Attempt at a Solution

at task 1 i got A=square root of (12/a)

 

[kamas]

Hi Yuli,
Have you made any attempts or do you have any ideas of how to solve task 2? What is the general equation for determining the probability density in quantum mechanics? Please give a bit more of your thought process so we can help you out!

Cheers,
Kamas

 

[Yuli10]

this is what i have tried to do, some ideas of mine.

 

[ideasrule]

Try starting out by finding the eigenfunctions of the Hamiltonian for the infinite square well. Each of them should be associated with a definite energy. After that, write the wavefunction as a linear combination of the normalized eigenfunctions. The probability of measuring E_n for the particle is just |c_n|^2, where c_n is the coefficient in front of the eigenfunction.

 

[paranormal]

and B= square root of (12/b)

I understand that quantum mechanics is a complex and continuously evolving field of study. It deals with the fundamental nature of matter and energy at a microscopic level, and as such, it presents many challenges and problems. One of the main problems in quantum mechanics is the issue of reconciling it with classical mechanics, as the two theories have fundamentally different principles and predictions. Additionally, the concept of superposition, where a particle can exist in multiple states simultaneously, is still not fully understood and presents challenges in its application.

Regarding your specific homework problem, I can see that you have made an attempt to solve task 1, but have encountered difficulty with task 2. This is not surprising, as quantum mechanics problems often require advanced mathematical skills and a deep understanding of the underlying principles. I would suggest seeking guidance from your instructor or fellow classmates, as well as doing further research and practice to improve your understanding of the topic. Remember, it takes time and effort to fully grasp the complexities of quantum mechanics. Keep persevering and seeking help when needed, and you will eventually be able to solve even the most challenging problems in this fascinating field of science.