A steady stream of particles with energy E(>V) is incident on a potential step of height Vo as shown in Fig. 3.3. The wave functions in the two regions are given by V1(x) = 40 exp(ik1x) + A exp(-ikix) V2(x) = B exp(ik2x) Write down expressions for the quantities ki and k2 in terms of E and V.. Show that ki - k27 2k17 A and B = ki + k2 ] ki + k2 and determine the reflection and transmission coefficients in terms of ki and k2

What are the phases shown in a and d called?

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

The earth is constantly spinning on its axis, like you might spin a basketball on your finger. it is this spinning of the earth that causes