How Do You Calculate Energy Levels in a 3-D Infinite Potential Well?

klhall2
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For the second, third, fourth, and fifth levels of the three-dimensional cubical box, find the energies in terms of the quantity Eo=π2*h2/(2mL2), where m is the particle mass and L is the box's sidelength.
 
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Come now, this is standard homework. The reason probably why you haven't got an answer is because you've made no attempt in solving it yourself.
 
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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