The Quantum Harmonic Oscillator

When a quantum harmonic oscillator makes a transition from the (n+1) state to thenstate and emits a 450-nm photon, what is its frequency?

Chapter 1 PHYS 1220 SI Units SI units are used for equations in the course o The SI unit for time is the second (s) o The SI unit for length is the meter (m) o The SI unit for mass is the kilogram (kg) Numbers can be simplified using scientific notation Units can be converted using a conversion factor Dimensional Analysis Density ρ=(m/v) Dimensional analysis when the dimensions of a quantity instead of the value are used to solve a problem; this is often used to check a problem Dimensions can be treated as algebraic symbols for example: o V=l*w*h each is a unit of length so volume is equal to L 3 The quantities can only be added or subtracted if they have the same dimensions Each side of the equation must have the same dimensions Trigonometric functions only apply to dimensionless quantities Logarithms and exponential functions only apply to dimensionless quantities Significant Figures When multiplying or dividing the answer will have the same amount of significant figures as the number in the equation with the least amount of significant figures (12.5)*(2.0)=25 When adding or subtracting the answer has the same amount of decimal places as the number with the least amount of decimal places in the problem Numbers such as e and π don’t place restricti