For particles incident on a step potential with E<Vo, show that T=0 using T+R=1

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genius_generous answered 8 months ago

A beam of protons, each with energy E=20 MeV, is incident on a potential step 40...

A beam of protons, each with energy E=20 MeV, is incident on a potential step 40 MeV high. Graph using a computer the relative probability of finding protons at values of x > 0 from x = 0 to x = 5 fm.

Consider a particle incident from the left on the potential step. Where E = 2 eV...

Consider a particle incident from the left on the potential step. Where E = 2 eV V(x) = {5 ?? ? < 0 0 ? > 0 1) Find the wave function of the particle in two regions 2) Find reflection and transmission coefficients R and T

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Consider the potential well defined by V(x)= {0 -L/2<x<L/2} {Vo x>L/2 or x<L/2} 1. For E>Vo...

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Suppose that e(t) is a piecewise defined function e (t) = 0 if 0 ≤ t...

Suppose that e(t) is a piecewise defined function e (t) = 0 if 0 ≤ t < 3 and e(t) = 1 if 3 ≤ t Solve y’’+ 9y = e(t) y(0) = 1 y’(0) = 3

Consider the Potential V(r) =Vo (c/r) exp (-r/c) (where c is a constant) and a deutron...

Consider the Potential V(r) =Vo (c/r) exp (-r/c) (where c is a constant) and a deutron of reduced mass m moving in this potential . (a) Using a trial wave function R(r) = exp (- d *r / c) (d is constant ) find the ground state energy if Vo= 1.35 (b) If one bound state energy is -2.2 find Vo

Given the vector function r(t)=〈√t , 1/(t-1) ,e^2t 〉 a) Find: ∫ r(t)dt b) Calculate the...

Given the vector function r(t)=〈√t , 1/(t-1) ,e^2t 〉 a) Find: ∫ r(t)dt b) Calculate the definite integral of r(t) for 2 ≤ t ≤ 3 can you please provide a Matlab code?

y'' - y = e^(-t) - (2)(t)(e^(-t)) y(0)= 1 y'(0)= 2 Use Laplace Transforms to solve....

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3. Suppose a beam of particles of mass m and kinetic energy E is incident from...

3. Suppose a beam of particles of mass m and kinetic energy E is incident from the left on a potential well given by: U(x) = ?U0 (for 0 < x < L where U0 > 0) U(x) = 0 ( otherwise ) (a) What is the Schrodinger Wave Equation (S.W.E.) for the region x < 0 ? (Hint: include both incident and reflected waves) (b) What is the S.W.E. for the region x > L ? (Hint: this will...

(a) Show that the lines r 1 (t) = (2,1,−4) + t(−1,1,−1) and r 2 (s)...

(a) Show that the lines r 1 (t) = (2,1,−4) + t(−1,1,−1) and r 2 (s) = (1,0,0) + s(0,1,−2) are skew. (b) The two lines in (a) lie in parallel planes. Find equations for these two planes. Express your answer in the form ax+by+cz +d = 0. [Hint: The two planes will share a normal vector n. How would one find n?] would one find n?]

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