Bra-ket Definition and 63 Threads

Question is in attachment The Attempt at a Solution i) < 5 | 3 > ii) G < 3 | 3 > iii) (Lz)/2 < 5 | 5 >

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

hey guys, <n|(a-+a+)^4|n> = 5n2+5n+3 I am wondering if some one can show me why left and right side are equal 　　　　Thanks in advance

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...

is there anyway of doing bra-ket notation in latex?

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)...