Recent content by commutator

i am having some problem in unerstanding a concept explained in my book in the chapter harmonic oscillators. as an example of this, it says, is the electromagnetic field, where A (vector potential) plays the role of the co ordinate and its dot plays the role of velocity in the oscillator...

Homework Statement consider a perturbation to the simple harmonic oscillator problem Lambda* (x)^4 question a) show tht the first order correction to n-th eigenstate is proportional to (1+2n+2n^2) b) argue that no matter how small lambda is ,the perturbation expansion will break down for...

understood. thanks.

FACTOR SPACE is defined in my book as the set whose elements are the equivalence classes defined by the equivalence relation R .denoted by S/R i cannot understand where this is different from equivalent class? page 8 - a coursein modern mathematical physics - szekeres any help will be...

thanks a lot !

thanks . that was really encouraging. for p=10, i got something like [-1]=(...,-11,-21-1,9,19,29...) [0]=(...-10,-20...0,10,20,...) [1]=(...-29,-19...1,11,21,31...] interestingly , [11] is coming same as [1]...

Homework Statement please consider the relation over the set of integers Z , given by m=n mod (p) where p is a positive integer . Prove that it is an equivalent relation. find the elements in the equivalent class of m. find the no of such equivalent classes. Homework Equations...

thanks..:) i think u are referrring to the principal axis that makes inertia tensor diagonal, but i am still in the dark about what an " embedded axis frame is" and its specialities.. am i missing something here? thanks again.

my book says that it is actually difficult to get the true motion of a body by using these equations because it says that euler equations are written in embedded axis frame ... what is an embedded axis frame?where is it different from normal frames that i used in before?after solving euler...

yes. i meant single state. i have understood my mistake. thanks.

Homework Statement prove , using appropriate commutation relations that the number operator yields the values 0 and 1 for fermions , and any non - negative values for bosons. Homework Equations the commutation relations for bosons and fermions. The Attempt at a Solutionthe boson...