Quanton in Box Energy Levels

In summary, the conversation discusses finding the length of a box based on the wavelengths of the emitted photons (620nm and 443nm). The equation used is wavelength = (8mc2L2)/(hc(ni2 - nf2). The conversation also mentions the importance of considering any invisible photons and suggests trying different transitions to determine the difference between two consecutive wavelengths.
  • #1
wompkins
6
0

Homework Statement


Imagine a box of unknown length with the only visible photons emitted have 620nm and 443nm. Identify the transitions and find the length of the box.


Homework Equations


wavelength = (8mc2L2)/(hc(ni2 - nf2)


The Attempt at a Solution


So I assume that I need to do is make a guess and find the first transition. From there find the ground state and then compare this ground state to the next transition.

From the lecture on this topic though we did not go over any problems like this so I am confused as to find the first transition.
 
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  • #2
Beware the "visible" ! You don't know if there are invisible photons, but you do know that there are no photons with a wavelength in between. Try a few transitions and see what wavelength expressions you get. Perhaps an expression for the difference between two consecutive wavelengths ?
 
  • #3
Try dividing one wavelength by the other
 

1. What is a "Quanton in Box Energy Level"?

A quanton in box energy level refers to the energy levels or states that a quanton (a particle that behaves according to the principles of quantum mechanics) can occupy in a confined space, such as a box.

2. How are quanton in box energy levels different from classical energy levels?

While classical energy levels are continuous and can take on any value, quanton in box energy levels are discrete and can only take on certain values determined by the size and shape of the box.

3. What factors affect the quanton in box energy levels?

The size and shape of the box, as well as the mass and properties of the quanton, can affect the quanton in box energy levels. Additionally, any external forces or interactions can also impact the energy levels.

4. How are quanton in box energy levels measured?

Quanton in box energy levels can be measured through various techniques, such as spectroscopy, which involves studying the interactions between light and matter to determine the energy levels of a quanton in a box.

5. What practical applications do quanton in box energy levels have?

Understanding quanton in box energy levels is important in fields such as quantum computing, where the manipulation of energy levels is crucial for performing calculations. It also has applications in nanotechnology, where the confinement of particles in small spaces can lead to unique properties and behaviors.

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