Bound States of Infinite Square Well

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SUMMARY

The discussion clarifies that in quantum mechanics, a bound state does not require the energy (E) to be less than zero (E<0). Instead, it is defined by the condition that energy must be less than the potential at infinity (E PREREQUISITES

  • Understanding of quantum mechanics principles
  • Familiarity with the concept of potential energy in quantum systems
  • Knowledge of the infinite square well model
  • Basic grasp of energy levels and bound states
NEXT STEPS
  • Study the mathematical formulation of the infinite square well potential
  • Explore the implications of bound states in quantum mechanics
  • Learn about the energy eigenstates and their significance
  • Investigate the concept of potential barriers and wells in quantum physics
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Students and professionals in physics, particularly those studying quantum mechanics, as well as educators looking to clarify concepts related to bound states and potential energy in quantum systems.

&quot;pi&quot;mp
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Hi all,
So I was recently set straight on the fact that bound state does *not* necessarily mean E<0 but rather is the statement that E<V(+/- infinity). So how do we apply this definition to the infinite square well where the potential at +/- infinity vanishes, and yet the bound states have positive energy?
Thanks in advance!
 
Physics news on Phys.org
The potential of the infinite square well at infinity is infinity?
 
oh god, yes of course. I was confusing it with the w.f. vanishing. Was very tired when i posted! thx
 

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