- #1
roshan2004
- 140
- 0
Do we have to use normalised wavefunction to calculate the expectation and probability of finding the particle? If yes, why?
roshan2004 said:I know about it, but I have seen using normalised wavefunction in calculating the expectation only so?
A normalised wavefunction is a mathematical representation of a quantum system that describes the probability of finding a particle at a specific location in space. It is normalised when the total probability of finding the particle in all possible locations is equal to 1.
The normalised wavefunction is calculated by dividing the original wavefunction by its norm, which is the square root of the integral of the wavefunction squared over all space. This ensures that the total probability of finding the particle is equal to 1.
The purpose of normalising a wavefunction is to ensure that the total probability of finding the particle in all possible locations is equal to 1. This allows for accurate predictions of the particle's behavior and properties.
No, a normalised wavefunction must always have a total probability of 1. If the wavefunction is not normalised, it cannot accurately describe the behavior of the particle.
The expectation value is the average value of a physical quantity, such as position or momentum, for a given wavefunction. A normalised wavefunction is necessary to calculate the expectation value, as it ensures that the probability of finding the particle at a specific location is accurate.