What Are the Dimensions of One-Dimensional Wave Functions?

seto6
Messages
248
Reaction score
0
dimensions of the one-dimensional wave function?

is it [si]=L-1/2?
 
Physics news on Phys.org
yes.
 
thanks man!
 
what would it be for 2-D and 3-D ?
 
When you integrate its square over an n-dimensional volume, you want to get a unitless area, so its units have to be L-n/2.
 
so for 2D it would be L-2/2 = L-1..for 3D it would me L-3/2

just making sure...

thanks for you replies!
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
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
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

Similar threads

Replies
61
Views
5K
Replies
9
Views
2K
Replies
2
Views
2K
Replies
14
Views
789
Replies
2
Views
1K
Replies
6
Views
2K
Back
Top