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What is a wavefunction in quantum mechanics?
A mathematical function that contains all the dynamical information about a system
describes probability of finding a particle at position x, doesn’t directly gibe you the probability ( that’s the probability density’s)
What is the Schrödinger equation ?
A second order differential equation used to calculate the wavefunction of a system
4 Requirements of a wave function
Must be single-valued
Continuous
Not infinite over a finite region of space
Have a continuos slow(except in special cases)
What is a node ?
A point where wave function passes 0
What does the Born interpretation assume?
The probability density at a point, x, is proportional to the square if the wave function at that point, x
How to normalise a wavefunction and why is it needed ?
When integral over all space of its square modulus is equal to 1
It is required so that wavefunction corresponds to a real physical state, so that probability equals 1and to allow consistency between different states