radiation and light
The quantity is the distance between constructive wave crests
Wavelength
This equation is used to determine allowed wavefunctions and energies
schrodinger equation
The square of the wavefunction represents this
probability density
This operator corresponds to total energy
hamiltonian operator
Unlike classical particles, quantum particles are described by this math. object
wavefunction
As wavelength decreases, this property increases.
frequency
In the time-independent schrodinger equation, this term represents potential energy
V(x)
A valid wavefunction must be this so total probability equals 1
normalized
an operator acting on a wavefunction may produce the same wavfunction multiplied by this quantity
This relationship connects wavelength and momentum
de Brogile relation
Planck proposed that electromagnetic energy is emitted in these discrete packets
quanta
For a free particle, the potential energy everywhere equals this
0
The interpretation connects wavefunctions to probability
born interpretation
These physical quantities can be measured experimentally
observables
Quantum mechanics predicts that energy can only exist in these allowed values
quantized/discrete energy levels
This classical theory incorrectly predicted infinite radiation intensity at short wavelength
Rayleigh-Jeans Law/ Ultraviolet catastrophe
According to de Brogile, particles exhibit this wave-like property
wavelength
If a wavefunction changes sign, the probability density changes by this amount
no change
operators associated with observables must possess this math. property
hermitian
This phenomenon occurs when waves combine to produce reinforcement or cacellation
As temperature increases, the wavelength of maxima emission shifts in this direction
shorter wavelength
The kinetic energy term in the schrodinger equation depends on what derivative of the wavefunction
2nd
Wavefunctions contain all of this type of information about a system
dynamical/measurable properties
The momentum operator involves differentiation with respect to this variable
position (x)
Classical mechanics fails for microscopic systems because matter also behaves like this
a wave