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1- Which of the following functions have a definite parity r...

1- Which of the following functions have a definite parity relative to the point x=0 ( I.e., we are interested in their symmetry relative to x=0)? For those that have a definite parity, state whether it is even or odd. (i) sin (x) (ii) exp (ix) (iii) (x-a)(x+a) (iv) exp(ix) + exp (-ix) (v) x( x...

Part I: (1) Show that we can express the Schrödinger e...

Part I: (1) Show that we can express the Schrödinger equation as two coupled equatio on a x (nv(x,t)) (a) at 2 as (x,t) U(x, t) - 1 (5) as = - V - (b) at 2m ôx Where we have defined the velocity field 1 as (x,t) v (x,t) = m ôx and the "internal potential&...

1. [10 pts] Calculate the root-mean-square (rms) velocity &a...

1. [10 pts] Calculate the root-mean-square (rms) velocity < "2 for an electron in ground state of an infinite potential well of width a =0.2 nm. Hint: You may want to calculate it from the energy of the ground state electron. 2. [10 pts) A particle in the infinite potential well ...

A typical cross section at LHC energies is a picobarn. Suppo...

A typical cross section at LHC energies is a picobarn. Suppose the cross section for scattering is 1 picobarn=10−12 barn = 10−40 meters2 of incident particles is moving very near the speed of light. What beam number density gives a rate of scattered events that is 100 per day?

MEASUREMENT OF THE MASS OF AN ELECTRON OBJECT: To measure t...

MEASUREMENT OF THE MASS OF AN ELECTRON OBJECT: To measure the mass of the electron APPARATUS: pair of Helmholtz coils fitted with e/m tube, two low-voltage power supplies, two ammeters, high-voltage power supply, milliammeter, voltmeter, compass, dip needle, meter stick THEORY: When electrons ar...

Problem 1. A particle of mass m moves in the xy plane in a ...

Problem 1. A particle of mass m moves in the xy plane in a potential described as = all y and 0 < X < a 00, elsewhere Using separation of variables find normalized eigenfunctions and eigenvalues. You can use known solutions of respective one-dimensional problems Problem 2. A hy...

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