Professor M does Science | Coherent state wave function || Concepts @ProfessorMdoesScience | Uploaded August 2021 | Updated October 2024, 3 hours ago.
📝 Problems+solutions:
- Quantum harmonic oscillator I: professorm.learnworlds.com/course/quantum-harmonic-oscillator-i
- Quantum harmonic oscillator II: professorm.learnworlds.com/course/quantum-harmonic-oscillator-ii

💻 Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1

📚 Coherent states of the quantum harmonic oscillator are those states that most closely resemble the classical oscillator. In this video we explore this from the perspective of the wave function of coherent states. We find that it has a Gaussian shape, which is consistent with the fact that coherent states are minimum uncertainty states. We also explore the time evolution of the coherent state wave function, revealing the back-and-forth motion that we traditionally associated with harmonic oscillators.

0:00 Intro
4:16 Coherent state wave function
8:06 Minimum uncertainty state
9:40 Displacement operator
11:02 Time evolution
14:31 Wrap-up

⏮️ BACKGROUND
Quantum harmonic oscillator: youtu.be/OdizRUe84bg
Ladder operators: youtu.be/Kb9twGd25P0
Quantum harmonic oscillator eigenstates: youtu.be/0o-LoJRtxDc
Coherent states: youtu.be/x0wk98uMyys
Quasi-classical states: youtu.be/0ef1rLO6DTU
Displacement operator: youtu.be/ypRTLIo-IIc
Minimum uncertainty states: youtu.be/cX9JiQ8nEL4

⏭️ WHAT NEXT?
Coherent state wave function || Maths: youtu.be/0p9pH85SLIU

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Director and writer: BM
Producer and designer: MC