Definition of stationary state (for wave function quantum)

AI Thread Summary
A stationary state in quantum mechanics is represented by a time-independent wave function, typically expressed as Ψ(x,y,z,t) = ψ(x,y,z)e^{-iEt/ħ}. This form indicates that while the wave function evolves over time, its probability density remains constant. The discussion clarifies that a stationary state is analogous to a standing wave, as both exhibit fixed patterns over time. The confusion regarding the time dependence of the wave function is addressed, emphasizing the importance of distinguishing between time-independent and time-dependent states. Understanding these concepts is crucial for grasping the behavior of quantum systems.
AStaunton
Messages
100
Reaction score
1
Hi there

My textbook says the following is the time independant wave function for a stationary state:

\Psi(x,y,z,t)=\psi(x,y,z)e^{-iEt/\bar{h}}

Just trying to get my definitions straight...is a stationary state the analogue of a standing wave?
 
Physics news on Phys.org
correction****

time DEpendant
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Progressive wave, wavelength moving in the opposite direction
Replies
4
Views
1K
Explain the Schrodinger equation
Replies
3
Views
1K
States in the Hydrogen Atom that are not allowed
Replies
18
Views
2K
Infinite Square Well with polynomial wave function
Replies
22
Views
2K
Time it Takes for a Transverse Pulse to Travel a Distance "L" Up a Cable Against Gravity?
Replies
13
Views
1K
Correct Setup for Finite Difference to Calculate Quantum Tunneling
Replies
2
Views
886
I Quantum mechanics stationary state
Replies
2
Views
3K
Is the given wave function a stationary state?
Replies
3
Views
2K
I Representation of Spin 1/2 quantum state
2
Replies
61
Views
5K
Stationary states infinite cubic well
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top