In this question,
What is the Schrödinger equation in position velocity space?
I originally made a careless mistake when writing the Schrödinger equation in velocity space, as I had originally put a $m^3$ in the denominator of part of the equation instead of putting $m$ in the numerator, which I have since corrected.
Now the way I made this mistake is that I thought about how $\vec{v}=\frac{\vec{p}}{m}$ and from getting the velocity and momentum mixed up, changed $\vec{p}^2$ to $\frac{v^2}{m^2}$ instead of $\vec{v}^2m$ and failed to see that I had implicitly assumed $\vec{p}=\frac{\vec{v}}{m}$ until I edited my question to show how I derived the Schrödinger equation in velocity space and noticed my mistake. The reason I didn't notice when someone commented on my question that $\vec{p}=m\vec{v}$ is because I assumed that he/she wasn't thinking about the form $\vec{v}=\frac{\vec{p}}{m}$.
I think in general if a wrong equation can be explained by a careless mistake such as mixing up $\vec{v}$ and $\vec{p}$ in $\vec{v}=\frac{\vec{p}}{m}$, or forgetting a term in an equation, when a question and the equations in it are long, it should be considered a sign of a careless mistake rather than asking from the perspective of non-mainstream physics.
