What Happens When You Measure a Superposition State in Harmonic Oscillators?

daveyman
Messages
88
Reaction score
0
I think this is a basic question:

If a state is in a superposition of energy eigen states of the harmonic oscillator, what will a single measurement yield?

Will it be <H>?
 
Physics news on Phys.org
A measurement of what? I guess you mean an energy measurement. A single measurement would yield one of possible energy eigenvalues. The probability of a single measurement yielding a particular energy eigenvalue is equal to the modulus squared of the coefficient of expansion for that particular eigenstate in the superposition state.
 
Ie. Not the expectation value of the energy.
 
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!

Similar threads

Back
Top