Coherent state wave function || Maths
📝 Problems+solutions:
Quantum harmonic oscillator I: https://professorm.learnworlds.com/co...
Quantum harmonic oscillator II: https://professorm.learnworlds.com/co...
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📚 Coherent states of the quantum harmonic oscillator are those states that most closely resemble the classical oscillator. In this video we derive the mathematical form that coherent states take when we write them as wave functions. Check out the companion video for the conceptual interpretation of the wave function we derive in this video.
0:00 Intro
3:16 Wave functions
4:44 Mathematical derivation
14:39 Coherent state wave function
16:03 Wrap-up
⏮️ BACKGROUND
Quantum harmonic oscillator: • The quantum harmonic oscillator
Ladder operators: • Ladder and number operators of the quantum...
Quantum harmonic oscillator eigenstates: • Eigenstates of the quantum harmonic oscill...
Coherent states: • Coherent states in quantum mechanics
Quasi-classical states: • Quasi-classical states: does the quantum h...
Displacement operator: • The displacement operator in quantum mecha...
Functions of operators: • Functions of operators in quantum mechanics
Wave functions: • Wave functions in quantum mechanics
Translation operator: • The translation operator in quantum mechanics
⏭️ WHAT NEXT?
Coherent state wave function || Concepts: • Coherent state wave function || Concepts
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Director and writer: BM
Producer and designer: MC