the solution has been done .thank you.good night.
Exercise 4.2 In class and in the previous problem we introduced the annihilation and creation ope...
4.2 and 4.3 please Exercise 4.2 In class and in the previous problem we introduced the annihilation and creation operators. We said that the annihilation (creation) operator decreases (increases) the quantum number n by one which amounts to the annihilation (creation) of one quantum units of energy ha. To be more explicit, a. Show that In) is an eigenket of N-ata, that is, ataln) nln). b. Show that at In) is an eigenket of N-ata, that is, ata(atļn)-7(atm) Exercise 4.3...
3 Problem Three [10 points] (The Quantum Oscillator) We have seen in class that the Hamiltonian of a particle of a simple Harmonic oscillator potential in one dimension can be expressed in term of the creation and annihilation operators àt and à, respectively, as: or with In >, n = 0,1,..) are the nth eigenstates of the above Hamiltonian. Part A A.1. Show that the energy levels of a simple harmonic oscillator are E,' Aw (nti), n=0, 12, A.2. Calculate...
In class we solved the quantum harmonic oscillator problem for a diatomic molecule. As part of that solution we transformed coordinates from x, the oscillator displacement coordinate, to the unitless, y using the relationship where μ is the reduced mass of the diatomic molecule and k is the force constant. The solutions turned out to be: w(y)N,H, (y)e Where N is a normalization constant, H,(v) are the Hermit polynomials and v is the quantum number with values of v0,1,2,3,.. The...
Help C++ Write a string class. To avoid conflicts with other similarly named classes, we will call our version MyString. This object is designed to make working with sequences of characters a little more convenient and less error-prone than handling raw c-strings, (although it will be implemented as a c-string behind the scenes). The MyString class will handle constructing strings, reading/printing, and accessing characters. In addition, the MyString object will have the ability to make a full deep-copy of itself...