This Homework Help Question: "quantum mechanics; Show that if any operator A commutes with Jy and Jz, it also commutes with Jx." No answers yet.
We need 3 more requests to produce the answer to this homework help question. Share with your friends to get the answer faster!
0 /3 have requested the answer to this homework help question.
quantum mechanics; Show that if any operator A commutes with Jy and Jz, it also commutes with Jx.
Using as a basis the eigenvectors | jm> of J2and Jz, obtain the matrix representation of the angularmomentum operators Jx, Jy, Jzand J2 forthe case j = 3/2.
Suppose that the function f(x) is an eigenfunction of the linear operator P with eigenvalue p, and f(x) is also an eigenfunction of the linear operator Q witheigenvalue q. Show that PQ ( f(x) ) = QP (f (x) ). Where PQ(f (x) ) means to first apply the operator Q to f(x), and then apply P to the result. Show all steps.
Show that for any (physically acceptable) wave function ?, the operator X, Px has eigenvalue ih.
The Hamiltonian operator for a particular one-dimensional system of mass m that is "free", in the sense that there is no potential energy dependent on theone-dimensional position coordinate x, is H=T (i.e., V=0) (a) Show that the set of functions ?j= sin(jx)+icos(jx) where j=±1,2,3,... are eigenfunctions of both H andof the one-dimensional momentum operator. (b) What are the expectation values for H and p for the j=5 stationary state? Note that since the eigenfunctions in this caseare not normalized, the...
7.8 If the operator U has the property U*U = I (where I is the identity operator), then U is called a unitary operator. Show that if (psi1), (psi x)…..(psi n) area set of orthonormal vectors, then U ( psi 1), U (psi 2)…..U (psi n) are also a set of orthonormal vectors.KEY:*= tau7.12Show that - delta (ax) = delta (x)/ *a*Key;*= vertical line
Show that the one-dimensional momentum operator is Hermitian.
Show that the operator H = (p^2)/2m + V(x) is Hermitian with respect to the class of integrable, twice differentiable functions of x.
Given that [A,B]=aB where a is a constant and the eigenstates of the operator A are given as I> such that AI>=I>. Show that (BI>) is also an eigenstate of Aand find its eigen value.
Show that the operator relatione^((ia)/h))*e^((-ia)/h) = +holds. The operator e^() is defined bye^() = ; where A=.Hint: calculate e^((ia)/h))*e^((-ia)/h)*f(p), where f(p) is any function of p and use the momentumrepresentation of the position operator = (ih)*
If the operator U has the property U*U = I (where I is the identity operator), then U is called a unitary operator. Show that if (psi1), (psi x)…..(psi n) are a set oforthonormal vectors, then U ( psi 1), U (psi 2)…..U (psi n) are also a set of orthonormal vectors.KEY:*= tau7.12Show that - delta (ax) = delta (x)/ *a*Key;*= vertical line
Post an Article
Post an Answer
Post a Question
with Answer
Self-promotion: Authors have the chance of a link back to their own personal blogs or social media profile pages.