Recent content by kashokjayaram

Can anybody helps in suggesting books on Fourier transforms and applications. I have seen many applications of Fourier transforms. But, I'm not able to visualize what's going on. Fourier transformations are there in Quantum mechanics also. It will be helpful in learning quantum mechanics. Thanks

Why, in a Gaussian wave function the position and momentum expectation value coincide to be zero? Does it have any physical interpretation? I had an idea that expectation value is the average value over time on that state. But, for Gaussian it tells that it vanishes. Can you please explain.?

I didnt get what are all the states occupied and what is not..! "Not occupied states" are also included...?! Ok.. Let the states be 0 and ε with \uparrow\downarrow in lower state 0 and \uparrow or \downarrow in higher state. Thus, two arrangements. What are the other two..? Is...

is this applicable to sphere also..?? Why both are same...? Since this operator is used for translation in plane, how come it is same in sphere?

I'm considering a system where an electron is subjected to magnetic field which is produced by dirac monopole. Here I'm interested in looking for a translation operator. Now how can I get a translation operator in presence of field and in absence of field.?? I need both the operators. Can...

I have seen this question somewhere.. I diidnt get the answer. So please help me. In how many ways three identical electrons can be arranged in two energy levels..?? Is it 2 or 4?? Here will you consider the spin of the electrons??

In quantizing the complex field, there will be creation of particle and antiparticle -terms. They will come as a product in hamiltonian. After the normal ordering process I can't see such terms involving in the hamiltonian. Thats why the question. Expecting the answer...!

In normal ordering method the anhillation operators are put in the left and creation operators on the right. What happens when we try to normal order the product of two anhillation operators or two creation operators (as in the case of complex scalar fields). What are we doing there actually...

Here, how did you choose the unitary matrix? Or is it that the matrix you chosen is the eigen vectors written one after the other..?? What is the mathematics behind it??

To find a vector which is perpendicular to 2 others, just find the cross product between the two. Let A(1,-1,2) and B(2,1,-3). A x B will be perpendicular to both vectors A and B. (I hope you know to find cross product) To find unit vector just divide the resultant with the norm.

Why is it another state...?? \alpha is a number which doesnot change the vectors in vector space. So it will be the same state. Am I right..? What happens when a^\dagger act on 0??

Zero element of the Hilbert space means what?? |0> is also the element of Hilbert space...! Isn't it? Is it the "smallest element(norm of which is small)"..?? Or why is then a acts gives zero..?? Sorry I can't distinguish... that's why..!

I understood what you've told upto this line. But can you elaborate this line. How can I represent an operator in this eigenbasis..? And can you tell me the diagonalized form of anyone of it? Thank you

Most part of the fundamental quantum mechanics rely upon finding some operators \hat{X} that commutes with hamiltonian and is able to simultaneously diagonalize \hat{X} and hamiltonian. Actually what do you mean by diagonalize simultaneously?? Is there any relation with diagonalize the...

In any textbooks I have seen, vacuum states are defined as: a |0>= 0 What is the difference between |0> and 0? Again, what happens when a+ act on |0> and 0? and Number Operator a+a act on |0> and 0?