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Results tagged with wavefunction
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user 136463
A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state. DO NOT USE THIS TAG for classical waves.
5
votes
Accepted
What do imaginary numbers practically represent in the Schrödinger equation?
The Schrödinger equation tells you how a state evolves with time. Suppose the system is at $t=0$ in a normalised eigenstate $\psi(0)$ of the Hamiltonian with eigenvalue $E$. Because the Hamiltonian is …
- 4,733
1
vote
Momentum state of a particle
First, we need some definitions of the concepts we will deal with: the position and momentum representations. The position and momentum operators satisfy the commutation relation:
\begin{equation}
[ …
- 4,733
3
votes
What is the unit (dimension) of the 3-dimensional position space wavefunction $\Psi$ of an e...
The three-dimensional integral of the norm square of the wave function is a probability, so it should be dimensionless. Therefore $\text{length}^3[\psi]^2=1$, so $[\psi]=\text{length}^{-3/2}$.
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