We have a spin-one-half projectile (mass m, Energy E = ℎ
2
2
ଶ
). This projectile scatters
a spin-one-target of infinite mass.
For this, the Hamiltonian is:
∫ = ଵଶ
−
In the above expression, µ > 0, σi represent the Pauli spin operators, where for i=1,
we have the spin operator for projectile and for i=2, we have spin operator for
target.
Evaluate ௗ
ௗΩ
(differential scattering cross section), in lowest order Born
approximation. The same should be calculated as a function of k and scattering
angle. Also, computation should be done averaging over initial; and summing over
final states of spin polarization.
The write up should include the following parts:
a. Title Page
b. Table of Contents
c. Abstract
d. Background
e. Introduction
f. The Problem Statement and Data given
g. Assumptions (if any)
h. Computation with necessary explanations
i. Conclusion and Inference
j. References
k. Appendices
There should be minimum 4 academic references in APA Style.
Answers
Answer:
Actual orbit accounting for air resistance and parabolic orbit of a projectile
The dotted path represents a parabolic trajectory and the solid path represents the actual
trajectory. The difference between the two paths is due to air resistance acting on the !
Fair object, = −bv2
vˆ , where vˆ is a unit vector in the direction of the velocity. (For the ! orbits shown in Figure 5.1, b = 0.01 N ⋅s
2 ⋅m-2 , v = 30.0 m ⋅s , the initial launch angle 0
with respect to the horizontal θ0 = 21! , and the actual horizontal distance traveled is
71.7% of the projectile orbit.). There are other factors that can influence the path of
motion; a rotating body or a special shape can alter the flow of air around the body,
which may induce a curved motion or lift like the flight of a baseball or golf ball. We
shall begin our analysis by neglecting all interactions except the gravitational interaction
Explanation:
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