Could someone please explain bra-ket notation in layman's terms?
Also could you please tell me how to notate this (bra-ket or otherwise)?
The probability of x_n is equal to \Lambda_n.
\Lambda_n is a value between 0 and 1.
x_n is, of course, position.
I have a basic question that I have overlooked in the past, given that you have
<psi2|A = lamda2<psi2|, where <| is a bra and lamda2 is the eigenvalue. If you were to multiply the equation by |psi1>, why do you get <psi2|A|psi1> = lamda2<psi2|psi1> and not |psi1><psi2|A = lamda2|psi1><psi2| ...
hey, can someone show me the step between these two lines of equations please:
(\Delta A)^2=<\psi|A^2|\psi>-<\psi|A|\psi>^2
=<\psi|(A-<A>)^2|\psi>
where A is an operator and \psi is the wavefunction and <A> is the expectation value of A
Homework Statement
my apologies if this question should be posted in the math forum
3-d space spanned by orthonormal basis: (kets) |1>, |2>, |3>. Ket |a> = i|1> - 2|2> - i|3>. Ket |b> = i|1> + 2|3>.
The question is to construct <a| and <b| in terms of the dual basis (kets 1,2,3)...
Hello.
I have been working out of the beginning of Shankar lately, and I wanted to address some confusion I have had with regard to Dirac notation.
I know that physicists tend to love the notation, but to me, so far, it is confusing, inconsistent, and even occasionally contradictory. Here...
I am reading a paper that uses a quantum mechanical notation that I do not understand. I have found a webpage that explains it, but I do not understand the explanation either:
http://chsfpc5.chem.ncsu.edu/~franzen/CH ...
(let Y represent the Psi)
Specifically, I understand what <Yn|A|Yn>...
I began my physics study about one year ago and learned all of classical mechanics in that year; but I am now studying Quantum Mechanics. The book I'm using (Dirac's Principles of Quantum Mechanics) Introduces Bra-Ket notation in the first chapter rather concisely. I understand the mathematical...
I need to show that (XY)^(dagger)=(Y)^(dagger)(X)^(dagger) using bra-ket algebra
where X and Y are operators
say we started out with: if we dagger it (using *):
XY|a> = X(Y|a>)=(X(Y|a>))=((Y|a>)X*)=<a|Y*X*
we also know that XY|a>=<a|(XY)* by definition, so...
I'm reading an article where there are an atom with two states, let's call them |0> and |1>. Then the writer defines an operator by
|0><1|
I know how this operator works in the bra ket notaion, but how does it work, if I want to use it in the position basis?
Someone told me that I just...
I'm supposed to perform the following operations.
|A + B> and <A + B|, where A and B are two vectors.
A = 3i |x> - 7i |y>
B = - |x> + 2i |y>
where |x> and |y> are orthonormal.
Little lost here... Is this asking me to add them component wise? ie
|A + B> = (3i - 1) |x> + (2i - 7i)...