Energy Eigenstates inside a one-dimension box

Rick2015
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How many energy eigenstates can "fit" inside a one-dimension box of length L?
 
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All of them.
 
Rick2015 said:
How many energy eigenstates can "fit" inside a one-dimension box of length L?

It's not clear what you mean by "fit", but there are an infinite number of energy eigenstates available and any superposition of any number of these is possible. Google for "infinite square well eigenfunction" for more information.
 
Nugatory said:
It's not clear what you mean by "fit", but there are an infinite number of energy eigenstates available and any superposition of any number of these is possible. Google for "infinite square well eigenfunction" for more information.

Thank you! That is what I thought but wasn't sure if the "fit" was a trick statement.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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