📝 Problems+solutions:
- Quantum harmonic oscillator I: [ Ссылка ]
- Quantum harmonic oscillator II: [ Ссылка ]

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📚 The coherent states of the quantum harmonic oscillator are defined as the eigenstates of the lowering operator. This seemingly simple definition leads to a plethora of properties that make coherent all-important. For example, they are the states that most closely resemble the motion of a classical harmonic oscillator, and in this context they are called quasi-classical states. As another example, they play a key role in the study of quantum optics. In this video, we define coherent states and investigate some of their most basic properties.

0:00 Intro
2:41 Definition of coherent states
4:16 Coherent states in the energy basis
12:04 Time evolution of coherent states
16:19 The raising operator has no eigenstates
21:04 Wrap-up

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⏮️ BACKGROUND
Quantum harmonic oscillator: [ Ссылка ]
Ladder operators: [ Ссылка ]
Quantum harmonic oscillator eigenvalues: [ Ссылка ]
Eigenvalues and eigenstates: [ Ссылка ]
Representations: [ Ссылка ]
Schrödinger equation: [ Ссылка ]

⏭️ WHAT NEXT?
Quasi-classical states: [ Ссылка ]
Displacement operator: [ Ссылка ]
Coherent state wave function || Maths: [ Ссылка ]
Coherent state wave function || Concepts: [ Ссылка ]

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Director and writer: BM
Producer and designer: MC

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