wavefunction

further chem
wavefunction:

• mathematical description of the quantum state of an isolated quantum system

• contains all the information about a particle
• no direct physical meaning
• extract information using operators or the born interpretation
• solving the schrodinger equation to get wavefunction

gives a probability density

for

elementary charge
mass of electron
vacuum permittivity
planck’s constant
principle quantum number
nuclear charge

higher principle quantum number means higher energy
higher nuclear charge means lower energy

assume there is a free particle with v=0 on an axis going from to

energy is kinetic only

particle in a box

contour plot, probability density plot, radial distribution function