Linear Momentum Operator


The Linear Momentum Operator is the quantum mechanical operator which gives an instruction to differentiate with respect to $x$ (position) and multiply by $-i\hbar$.


It has the following input:

  • Spatial dimension ($x$): It inputs the values of $x$ defined in the Spatial Dimension node.


It consists of differentiated values of $x$ multiplied by $-i\hbar$.


  • Linear Momentum Operator: The resulting linear momentum operator $\hat{p}$ which can be applied to a state.


In the example below, the Linear Momentum Operator node inputs the values of $x$and applies the operation to a Gaussian function which results in a new function. The magnitudes of both the Gaussian and the resulting function after operator application are shown on the plot.