Small part of central potentials in quantum

In summary, the conversation is about manipulating the Schrodinger equation for a central potential and trying to solve for a specific equation involving derivatives. The person asking for help has already solved the problem but is unsure how to delete the question.
  • #1
Chronos000
80
0

Homework Statement



im manipulating the schrodinger equation for a central potential.

at some point I need 1/r2 d/dr (r2 dR/dr ) to equal X''/r

where R = X/r

when i sub in R i get

1/r ( - dX/dr -1/r2 X'' +1/r X'' )

I'm most likely making an obvious error but nevertheless...
 
Last edited:
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  • #2
solved it
 
  • #3
Show us your detailed calculations. It's impossible to say where your mistake is without seeing your work.
 
  • #4
Thanks for your reply, I tried to delete the question once I'd solved it via edit but it wouldn't let me. Do you know how to?
 
  • #5
Only forum moderators can delete threads as far as I know.
 

FAQ: Small part of central potentials in quantum

What is a central potential in quantum mechanics?

A central potential is a type of force field that is spherically symmetric, meaning that it is independent of the direction in which it acts. In quantum mechanics, central potentials play a crucial role in understanding the behavior of particles, particularly in the bound states of atoms and molecules.

What is the significance of studying small parts of central potentials in quantum mechanics?

Studying small parts of central potentials allows us to gain a deeper understanding of the properties and behavior of particles in quantum systems. By breaking down a larger central potential into smaller components, we can better analyze and model the effects of different forces on particles, leading to more accurate predictions and explanations of quantum phenomena.

How are small parts of central potentials calculated and measured in quantum mechanics?

In quantum mechanics, small parts of central potentials are typically calculated using mathematical models and equations that describe the interactions between particles and forces. These calculations can also be verified and measured experimentally through techniques such as spectroscopy, which involves analyzing the wavelengths of light emitted or absorbed by particles in a central potential.

What are some real-world applications of understanding small parts of central potentials in quantum mechanics?

Understanding small parts of central potentials has numerous applications in fields such as material science, chemistry, and electronics. For example, by understanding how particles behave in different central potentials, we can develop more efficient and precise methods for creating new materials or designing electronic devices.

How does studying small parts of central potentials contribute to our overall understanding of quantum mechanics?

Studying small parts of central potentials allows us to gain a more complete understanding of the fundamental principles of quantum mechanics and how particles behave in different environments. This knowledge can then be applied to larger and more complex systems, helping us to unravel the mysteries of the quantum world and advance our understanding of the universe.

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