Refraction due to attractive potential

missmaria
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Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction?

Ok, so i know that i have to use snell's law, but I'm stuck on calculating the effect of the attractive potential of the crystal. please help! thanks
 
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missmaria said:
Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction?

Ok, so i know that i have to use snell's law, but I'm stuck on calculating the effect of the attractive potential of the crystal. please help! thanks

The potential changes the wavelength of the electrons. Thus causing the refraction.
 
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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