Recent content by markoX

My second question is not related to group theory, suppose we have two matrices A and B. The direct product of these two matrices is A * B ( which is tensor product ) but the direct sum is something else. how do these two objects can be same in Z-modules group?

thanks for reply, Do you mean direct product and direct sum are the same for Z-modules? but how do their definition are different for two matrices A and B as you know?

Hi everybody, I'm new to absract algebra and I really can not understand different between direct sum and direct product in group theory (specially abelian groups). could does anyone give me a clear example or ... ? thanks

If v1 and v2 are two different eigenvectors of an observable corresponding to different eigenvalues, then the state v1 means that a measurement will yield the eigenvalue corresponding to v1 - so the probability of getting the eigenvalue corresponding to v2 *should* be zero. So the inner product...

yes,I know what you are saying but how does this linear operator made in real quantum computer? as I learned a qbit is linear combination of two basis like a|0> + b|1> ( |a|^2 + |b|^2 = 1 ). I can not understand differen between linear operator and measurment as you said?

thanks for replies. I will keep in my mind linguistic note. yes that is right...It is esier to work with orthogonal basis. ok...thank again.

Hi everybody ... One of the one-qbit simple quantum gate is X which defined by: X: |0> ----- |1> |1> ----- |0> but how does this gate ( unitary operator ) act on |i> state? (i=0 or 1) I mean at first we have to measure what state is ( 0 or 1) and so flip them but after we know the...

In quantum mechanics we learn that the states of a system described by eigen states which they are perpendecular. why should be this?

thanks for your replies.

Hi everybody. I give you an example to clarify my question: a NAND gate is irreversible becuase you can not find inputs from outputs and this is because of one bit is lost in output ( Antropy will increase ).the number of inputs and output are not the same in NAND gate. ok...now my question...

Hi, One of the fields of condense matter is molecule dynamics.I want to know does quantum mechanics use in this field? I think just classical interaction is considered between molecules in molecule dynamics. Thanks

Hi everybody, I'm trying to simulate double slit experiment for electron (or any particles) by monte carlo method.but there is something interesting here which I explain it for you. I supposed that electron will pass one of the splits in each time (by same chance) with random angle in X...

Thanks for your replies.So are you saying me in fact light has particle nature which it shows wave behaviors classically (in large scale)?

Hi everybody, There is some things which i can't digest it.In light(gamma or X-ray) detectors we just get tick...tick..tick...tick from detectors,But In the light interference we see pattern(which it is continuous).Wow...how is it possible if you consider same light source for two case...

Yes,you'r right.Toluene is that solvent which I need but I do not know what is anthracene concentration range in the cocktail (with toluene as solvent).Some books reffer me to R.P.Bell 1948 "The use of anthracene as a scintillation counter " article but it's not free in internet. any one can...