Energy from schrödinger equation

Gavroy
Messages
232
Reaction score
0
hi

i was currently thinking about this step here:

\langle \psi_n, - \Delta \psi_n \rangle = \int |\nabla \psi_n|^2 dx

how do you get from the laplacian to this other expression?
 
Physics news on Phys.org
Integrate by parts to move a del operator from the right psi to the left one.
 

Thread 'Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect'

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
View full post »

Thread 'Quantum behaviour of an electron around a positively charged sphere'

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!
View full post »

Similar threads

I About general solutions to Schrodinger equation
Replies
13
Views
3K
I Fourier's Trick and calculation of Cn
Replies
8
Views
9K
I Solve the particle in a box problem using matrix mechanics?
Replies
41
Views
10K
A The eigenvalue power method for quantum problems
Replies
2
Views
2K
I Solving Schrodinger's eqn using ladder operators for potential V
Replies
4
Views
2K
A Heisenberg picture and Path integrals (Zee QFT)
Replies
15
Views
3K
I Clarification on how bra ket works here
Replies
29
Views
2K
Perturbation theory (the math)
Replies
5
Views
2K
I Difficulty in understanding step in Deriving WKB approximation
Replies
6
Views
2K
I What is the Meaning of the Schrödinger Equation?
Replies
11
Views
2K

Hot Threads

Recent Insights

Back
Top