Question

In: Physics

A particle with mass m and energy E is moving in one-dimension from right to legt....

A particle with mass m and energy E is moving in one-dimension from right to legt. It is incident on the step potential V(x)=0 for x<0 nd V(x)=V0 for x>0 where E>V0>0. Find the reflection coefficient R in terms of m,E and V0, and h-bar.

Solutions

Expert Solution

Please like the answer ,give thumbs up .


Related Solutions

Problem 1: The energy E of a particle of mass m moving at speed v is...
Problem 1: The energy E of a particle of mass m moving at speed v is given by: E2 = m2 c4 + p2 c2 (1) p=γmv (2) 1 γ = 1−v2/c2 (3) This means that if something is at rest, it’s energy is mc2. We can define a kinetic energy to be the difference between the total energy of an object given by equation (1) and the rest energy mc2. What would be the kinetic energy of a baseball...
A particle of mass ? moves in one dimension along the ?- axis. Its potential energy...
A particle of mass ? moves in one dimension along the ?- axis. Its potential energy is given by ?(?) = ??3 − ??, where ? and ? are positive constants. (a) Calculate the force on the particle, ?(?). Find the position of all equilibrium points and identify them as stable or unstable. (b) Draw an energy diagram showing the potential energy U, the kinetic energy K, and the total mechanical energy E for bound motion. Show the location of...
3) The momentum eigenfunction for a particle moving in one dimension is фр--h-1/2eipz/n The energy eigenfunction...
3) The momentum eigenfunction for a particle moving in one dimension is фр--h-1/2eipz/n The energy eigenfunction for a particle in a 1D box of length L is u()- is expanded in terms of фе(x), the expansion coefficient may be interpreted as the momentum probability amplitude; its square gives the probability density for momentum. Determine the momentum probability density for u(x)
One particle whose mass is defined by m is moving along a certain line in the...
One particle whose mass is defined by m is moving along a certain line in the region x>0 is subjected to a conservative net force given by the following equation: F(x)= F₀x eˣ^²/²ᴸ^² The constants F and L are both positive real quantities with appropriate physical dimensions. Find the formula for the corresponding U(x), with the given assumption that the limₓ↠∞U(x)=0. Secondly, we know that the particle is launched from an initial location x₀>>>L towards x=0. (the >>> mean that...
Solve for the motion of a free particle moving in one dimension with initial position and...
Solve for the motion of a free particle moving in one dimension with initial position and initial momentum using Hamilton –Jacobi theory. Please be sure to use the fact that the resulting Kamiltonian vanishes to simplify your work. Comment on the results you find.
Classical mechanics - upper level task 1. A particle of mass m, in one dimension, moves...
Classical mechanics - upper level task 1. A particle of mass m, in one dimension, moves in the field of force constant F. Canonical transformation is: q (t) → Q (t) = q (t + τ) p (t) → P (t) = p (t + τ) (1) Find the derivative function F2 (q, P) , then linearize it by keeping only the linear contributions in τ. Shoe that f2 (q, P), the contribution within F2 that multiplies τ corresponds to...
A moving particle of mass M and impulse P breaks down in two fragments. One of...
A moving particle of mass M and impulse P breaks down in two fragments. One of these has a mass m1=1.00 MeV/c2​ and an impulse p1 = 1.75Mev/c in the +x direction. The other one has a mass m2 = 1.50 MeV/c2 and an impulse p2 = 2.005 MeV/c in the +y direction. Find: a) The initial impulse (value and direction) b) Total energy of the initial particle c) The mass M of the initial particle d) The value of...
A block of mass m= 5.00-kg is moving to the right with a speed of v=...
A block of mass m= 5.00-kg is moving to the right with a speed of v= 2.00 m/son a horizontal,frictionless surface. The block encounters a relaxed(that is, neither compressed nor extended)spring with spring constant k= 2,000.00 N/m. a.What is the kinetic energy of the block before hitting the spring? b.What is the kinetic energy of the block when the spring is at maximum compression? c.How much energy is stored in the spring at maximum compression? d.How far does the spring...
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...
4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the...
4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the Hamiltonian H(x, y, px, py) = (px − cy) ^2 + (py + cx)^ 2 /2m where c is a constant. Find the equations of motion for x, y, px, py. Use these to write the equations of motion for the complex variables ζ = x + iy and ρ = px + ipy. Eliminate ρ to show that m¨ζ − 2ic ˙ζ =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT