A particle with mass m is in the statemx+iat2hV (x, t) = Aewhere A and a are positive real constants.Calculate the expectation value of (p).

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Answered: A particle with mass m is in the state…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Bacteria and other prokaryotes are found deep underground, in water, and in the air. One micron (10-6 m) is a typical length scale associated with these microbes. (a) Estimate the total number of bacteria and other prokaryotes onthe Earth. (b) Estimate the total mass of all such microbes.
A particle is confined to a one dimensional box with boundaries at x=0 and x-1. The wave function of the particle within the box boundaries is V(x) 2100 (- x + ) and zero V 619 everywhere else. What is the probability of finding the particle between x=0 and x=0.621? Do not enter your final answer as a percentage, but rather a number between 0 and 1. For instance, if you get that the probability is 20%, enter 0.2.
6QM Please answer question throughly and detailed.
Consider the function v(1,2) =( [1s(1) 3s(2) + 3s(1) 1s(2)] [x(1) B(2) + B(1) a(2)] Which of the following statements is incorrect concerning p(1,2) ? a. W(1,2) is normalized. Ob. The function W(1,2) is symmetric with respect to the exchange of the space and the spin coordinates of the two electrons. OC. y(1,2) is an eigenfunction of the reference (or zero-order) Hamiltonian (in which the electron-electron repulsion term is ignored) of Li with eigenvalue = -5 hartree. d. The function y(1,2) is an acceptable wave function to describe the properties of one of the excited states of Lit. Oe. The function 4(1,2) is an eigenfunction of the operator S,(1,2) = S;(1) + S,(2) with eigenvalue zero.
4. A simple model of a radioactive nuclear decay assumes that alpha particles are trapped inside a nuclear potential well. An alpha particle is a particle made out of two protons and two neutrons and has a mass of 3.73 GeV/c². The nuclear potential can be modeled as a pair of barriers each with a width of 2.0 fm and a height of 30.0 MeV. Find the probability for an alpha particle to tunnel across one of the potential barriers if it has a kinetic energy of 20.0 MeV.

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A particle with mass m is in the state 2 mx a +iat ¥ (x,t) = Ae 2h where A and a are positive real constants. Calculate the expectation value of (p).