Finding the factor by which two operators differ.

  • Thread starter Thread starter H.fulls
  • Start date Start date
  • Tags Tags
    Operators
AI Thread Summary
The discussion revolves around understanding the difference between two operators, A^2B^2 + B^2A^2 and 1/2(A^B^+B^A^). The original question asks by what factor the two operators differ, but there is confusion regarding the wording, suggesting it should refer to "operations" instead. The participant is uncertain whether to use inner products or commutation to find the relationship between the operators. They emphasize the importance of grappling with the mathematical aspects independently while seeking clarity on the question's intent. Ultimately, the distinction between operators and operations is central to resolving the confusion.
H.fulls
Messages
19
Reaction score
0
1. Homework Statement
I have two operators
A^2B^2+B^2A^2

1/2(A^B^+B^A^) 2

By what factor do the two operators differ?


3. The Attempt at a Solution
I believe I either have to find the inner products of them and relate them somehow or use commutation?
Not sure which one!
I don't want help with the maths as I really need to try figure that bit out myself! But I am not quite sure what the question is asking me to do.
 
Physics news on Phys.org
Shouldn't the question read "By what factor do the two operations differ"?
That is the result of the two operations differ by only a factor, or one answer is a factor of the other.
 
Thats not how the question is worded :/ Would maybe make more sense like that...But it definitely says by what factor do the two operators given differ.
 
That doesn't make sense. Operators are defined a certain way and give variable results when operating on the operands. So I would think they intended to write 'operations'. If that is what they really intended why would they give two equations then?
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

A Does x affect the value of [a^2,(a^†)^2×e^2ikx]
Replies
2
Views
1K
Finding the Line of Motion of Two Particles
Replies
16
Views
1K
Problem with pulleys - two fixed and one movable
Replies
22
Views
326
Normalisation constants with ladder operators
Replies
10
Views
2K
Is my work correct? (Two students running on a track)
Replies
16
Views
1K
Expectation value of raising and lower operator
Replies
7
Views
2K
Focussing a collimated beam using a diffraction grating
Replies
1
Views
667
I Composite quantum systems: Kronecker and Hadamard/Schur products
Replies
2
Views
2K
How to calculate pressure when two forces are exerted
Replies
23
Views
1K
Normalised eigenspinors and eigenvalues of the spin operator
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top