- #1
Steven Hanna
- 31
- 1
The formula T = -(ħ/2m)∇2 implies that T is proportional to the second spatial derivative of a wavefunction. What is the origin of this dependence?
In classical mechanics, T = p2/2m. Is it also the case in classical mechanics that p2/2m is proportional to a second spatial derivative? I have not been able to relate (d/dt)2 to d2/dx2 using classical mechanics.
Thanks,
Steven
In classical mechanics, T = p2/2m. Is it also the case in classical mechanics that p2/2m is proportional to a second spatial derivative? I have not been able to relate (d/dt)2 to d2/dx2 using classical mechanics.
Thanks,
Steven