Summary

This document explains the concepts of phase velocity, group velocity, and Heisenberg uncertainty in quantum physics. It contains calculations and diagrams.

Full Transcript

Phase velocity Relationship between Group and Phase velocity Group and Phase velocity in dispersive medium moves with phase velocity moves with group velocity Heisenberg Uncertainty Principle The position and the momentum (velocity) of an object cann...

Phase velocity Relationship between Group and Phase velocity Group and Phase velocity in dispersive medium moves with phase velocity moves with group velocity Heisenberg Uncertainty Principle The position and the momentum (velocity) of an object cannot both be measured exactly (100% accuracy), at the same time (simultaneously). Uncertainty in time of an excited atom is about 10–8s. What are the uncertainties in frequency of the radiation? Uncertainty in time of an excited atom is about 10–8s. What are the uncertainties in frequency of the radiation? An electron is confined to a potential well of width 10 nm. Calculate the minimum uncertainty in its velocity. An electron is confined to a potential well of width 10 nm. Calculate the minimum uncertainty in its velocity.

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