Quantum Harmonic Oscillator

Parameters

Angular frequency ω (×10¹⁴ rad/s)

Number of Levels

Particle type

Mass (×10⁻³¹ kg)

Energy Diagram

Wave Function ψ(x)

Self-Assessment

Q1. What is the ground state (n=0) energy of the harmonic oscillator?

A 0

B ℏω

C ℏω/2

D 2ℏω

Q2. What is the energy spacing between adjacent levels of the harmonic oscillator?

A ℏω (constant)

B n·ℏω (increasing)

C ℏω/n (decreasing)

D n²·ℏω

Q3. How many nodes (zeros) does the n=2 wave function have?

A 1

B 2

C 0

D 3