The Graph of an Idealized Quantized Spring-Mass Oscillator

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SUMMARY

The discussion centers on identifying the energy level diagrams corresponding to various physical systems, specifically focusing on the idealized quantized spring-mass oscillator. Participants noted that the typical energy level spacings for hadronic, nuclear, rotational, and vibrational systems vary significantly, with hadronic systems at 100 MeV, nuclear systems at 1 MeV, and rotational states at 0.0001 eV. The idealized quantized spring-mass oscillator's energy levels are graphed using a parabolic function, which distinguishes it from other systems. The confusion arises from the participant's uncertainty about the characteristics of the spring-mass oscillator compared to the provided diagrams.

PREREQUISITES
  • Understanding of energy level diagrams in quantum mechanics
  • Familiarity with the concepts of hadronic, nuclear, and molecular energy states
  • Knowledge of parabolic functions in physics
  • Basic principles of quantum mechanics related to oscillators
NEXT STEPS
  • Research the mathematical modeling of the idealized quantized spring-mass oscillator
  • Study the differences between vibrational and rotational energy states in diatomic molecules
  • Explore the energy level structure of the hydrogen atom in detail
  • Learn about the implications of energy level spacing in various quantum systems
USEFUL FOR

Students and educators in physics, particularly those studying quantum mechanics and energy level diagrams, as well as researchers interested in the behavior of oscillatory systems.

Oribe Yasuna
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Homework Statement


See attached image.
Match the type of system or situation to the appropriate energy level diagram.
1) hadronic (such as
deltacap.gif
+)
2) idealized quantized spring-mass oscillator
3) nuclear (such as the nucleus of a carbon atom)
4) vibrational states of a diatomic molecule such as O2
5) rotational states of a diatomic molecule such as O2
6) electronic, vibrational, and rotational states of a diatomic molecule such as O2
7) electronic states of a single atom such as hydrogen

Homework Equations


No equations.

The Attempt at a Solution


I know the typical spacing between levels in a hadronic system is 10^8 eV = 100 MeV
I know the typical spacing between levels in a nuclear system is 10^6 eV = 1 MeV
I know the typical spacing between rotational states is 10^-4 eV = 0.0001 eV
I know that vibrational states are graphed using a parabolic function.
I know g. measures delta E_rot, delta E_elec and delta E_vib.
Finally, I've been working with the model for the electronic states of a hydrogen atom a lot so I'm sure it's b. because it has 4 energy levels, the ground state is far below the rest, and its an inverse graph.

What stumps me is an idealized quantized spring-mass oscillator. I don't know what that is, but I only have one remaining graph (e.) so why is my answer wrong?
ss+(2015-10-29+at+03.57.30).png
 
Last edited:
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It is hard to read the image.

Do you have a full list of your assignments?
 

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