Why do spectral lines only appear as a line?

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i'm a newbie to quantum theory so bear with me please :) when hydrogen is heated in a vaccuum, the electron gets excited and moves to a higher energy level right? and then emits light as a spectral line when it moves back down to the lower energy level. my question is, why does it only show up as a line? shouldn't it be a continual spectrum of light between the two energy levels? the energy we see as light is the electron's movement isn't it? (or is that something else?) sorry for all the questions, and thanks if you can help!
 
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Yea, that's what happens when you try to think of QM in a classical mindset. In quantum mechanics, a transition down a level for an electron emits exactly 1 photon with the energy of the transition. Because all the electrons make more or less the same transitions, you get a stream of photons with the same energy and therefore frequency. So, you get a line and not a continuum.
 
An electron is thought to behave as a wave, and waves can add or subtract (destructive interference). In most places the electron is tuned out by destructive interference. And in few places the electron can exist where its wavelike nature adds up to itself (constructive interference). That's why its energy level is discreet.


This youtube video demonstrates interference. Resonant patterns occur at certain frequencies > energy levels.

 
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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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