. Quantum-mechanical oscillator. Describe Figure 2.: (a) Describe what is plotted on the x-axis and on the y-axis? (b) Describe the labels within the figure: name label (A) and name label (B). (b) Name the lowest energy of a classical harmonic oscillator. (c) Name the lowest energy of a quantum mechanical harmonic oscillator. p=3 (B) p=0A (A) Figure 2: energy levels of a quantum- mechanical harmonic oscillator

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Chapter1: Chemical Foundations
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Quantum mechanics
 
 
 
**Quantum-mechanical oscillator**

**Describe Figure 2:**

(a) **Axes Description:**
- The x-axis represents the position of the oscillator.
- The y-axis represents the energy levels.

(b) **Figure Labels:**
- Label (A) indicates the potential energy curve of the oscillator.
- Label (B) indicates quantized energy levels.

**Figure Explanation:**
- The graph depicts the potential energy well of a harmonic oscillator.
- The energy levels are shown as horizontal lines at discrete intervals, labeled as \(n = 0, 1, 2, 3, 4\).

(b) **Lowest Energy of a Classical Harmonic Oscillator:**
- The lowest energy is at the bottom of the parabola, where potential and kinetic energy are in equilibrium.

(c) **Lowest Energy of a Quantum Mechanical Harmonic Oscillator:**
- The lowest energy level (\(n = 0\)) is not zero due to zero-point energy and is represented by \(E_0\), above the potential energy minimum.
Transcribed Image Text:**Quantum-mechanical oscillator** **Describe Figure 2:** (a) **Axes Description:** - The x-axis represents the position of the oscillator. - The y-axis represents the energy levels. (b) **Figure Labels:** - Label (A) indicates the potential energy curve of the oscillator. - Label (B) indicates quantized energy levels. **Figure Explanation:** - The graph depicts the potential energy well of a harmonic oscillator. - The energy levels are shown as horizontal lines at discrete intervals, labeled as \(n = 0, 1, 2, 3, 4\). (b) **Lowest Energy of a Classical Harmonic Oscillator:** - The lowest energy is at the bottom of the parabola, where potential and kinetic energy are in equilibrium. (c) **Lowest Energy of a Quantum Mechanical Harmonic Oscillator:** - The lowest energy level (\(n = 0\)) is not zero due to zero-point energy and is represented by \(E_0\), above the potential energy minimum.
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