Calculating c in Schroedinger Equations

  • Thread starter Thread starter rayfieca
  • Start date Start date
AI Thread Summary
To calculate the constant c in the Schrödinger equation, normalization of the wave function Psi(x) is essential, requiring that the integral of cPsi^2 equals 1. The user is unsure how to derive the integral from the provided Psi(x) versus position graph. A general procedure for calculating constants in similar problems is sought, emphasizing the importance of normalization. Understanding the relationship between the wave function and its probability density is crucial for these calculations. Clear steps for integrating the graph and applying normalization principles will aid in solving this and future problems.
rayfieca
Messages
5
Reaction score
0

Homework Statement


40.EX16.jpg

I have attached a graph of a Psi^2 versus position (x) graph. The question asks me to calculate the constant c in nm^(-1/2)


Homework Equations


¡¹h2 d2Ã(x) dx2 + U(x)Ã(x) = EÃ(x)
Also, I know that you have to use normalization so that The integral of cPsi^2=1.

The Attempt at a Solution


I am just not sure how to come up with an integral for the graph. Also, is there a general procedure for calculating these constants so that I can reproduce it in other problems?
 

Attachments

  • 40.EX16.jpg
    40.EX16.jpg
    3.5 KB · Views: 408
Physics news on Phys.org
Actually it is a Psi(x) versus x graph not Psi^2. My apologies.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Finding acceleration from Velocity vs Position graph
Replies
2
Views
4K
Understanding a math step in solving Schrödinger's equation for single particle in a box
Replies
8
Views
916
Confusion Calculating Young's Modulus
Replies
5
Views
2K
Confused about kinematic equations
Replies
20
Views
2K
Uncertainties For Wave Packets
Replies
4
Views
956
Energy of particle in simple harmonic motion
Replies
13
Views
1K
Help Calculating probability between 2 limits for the ground state
Replies
28
Views
2K
Correct Setup for Finite Difference to Calculate Quantum Tunneling
Replies
2
Views
931
Constant Acceleration -- Equation for Vavge
Replies
5
Views
1K
Acceleration and Displacement from a Velocity vs. Time Graph
Replies
15
Views
3K

Hot Threads

Recent Insights

Back
Top