I Understanding the Wave Function to dψ^2/dx^2 and Its Properties

Another
Messages
104
Reaction score
5
I don't understand "ψ (x,t) =Ae^i(px-Et)/h"

I understand dψ^2/dx^2 = i^2p^2/h^2

but why dψ^2/dx^2 = -p^2/h^2

"-" from
"i^2" missing
please help me :frown::frown::frown::frown::frown::frown:
 
Physics news on Phys.org
The imaginary unit ##i## is a number with property ##i^2 = -1##. The only other number with same property is ##-i##.
 
hilbert2 said:
The imaginary unit ##i## is a number with property ##i^2 = -1##. The only other number with same property is ##-i##.
thankful
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

Similar threads

Replies
6
Views
2K
Replies
13
Views
1K
Replies
12
Views
3K
Replies
8
Views
1K
Replies
11
Views
3K
Replies
1
Views
2K
Replies
9
Views
2K
Back
Top