Recent content by Apashanka

From the probability density plot why it is max at the centre of the box...e.g probability to find the particle per unit le gth is max. at the centre of the box??why not at any other position??

For a given ##l## the eigenstates of ##L_x## are some linear combinations of ##|l,m_l>## which are also the eigenstates of ##L^2##...

For a given state say ##{l,m_l}## where ##l## is the orbital angular momentum quantum no. and ##m_l## be it's ##z## component...a given state ##|l,m_l> ## is an eigenstate of ##L^2## but not an eigenstate of ##L_x##...therefore all eigenstates of ##L_x## are eigenstates of ##L^2## but the...

Post ##1 Therefore calculation of 350/c in S frame and 250/c in B frame is correct??

The first part I have calculated is as follows:: Length of A seen by S =30m Length of B seen by S=40m In S frame, Time for front of A and B to come in same line 0.8ct=40+0.6ct...t=200/c From the above position time for back end of A and front of B to come in same line 0.8ct=30+0.6ct...t=150...

While attempting this question , velocity of ##B## wrt ##A## ,##u'_x=\frac{u_x-v}{1-u_xv/c^2}## where ##u_x=-0.6c,v=0.8c## comes out to be ##-0.945c## (approaching).. The distance between ##A## and ##B## seen by ##A## at ## t=0## is ##d=\sqrt(1-.8^2)4.2×10^8## comes out to be ##252*10^6m##...

A particle ##p## is moving with a velocity ##u\hat i## with respect to S ... The velocity of ##p## with respect to S' is then ##-c \hat i##... Another part... Similarly taking the velocity of particle ##p## with respect to S' as ##-c\hat i## the velocity of ##p## with respect to S is then...

I am not taking ##x## as an explicit function of ##t## , although ##x## varies with ##t##...to take this into account ##x## at any ##t## is ##f_t(X)## where the functional dependence changes with time given ##X## fixed initial coordinate. For exm for given ##X=2## say ##x## at ##t_1## varies...

What I am asking is as ##x=f_t(X)## at any time ##t## then ##dx=\partial_X f_t(X) dX## and in 3-D it becomes ##d^3x=\Pi_i \partial_{X_i}f_t(X_i) d^3X## also sometimes called ##d^3x=Jd^3X##. Integrating both sides can it be written ##v(t)=\Pi_i f_t(X_i)## for given ##Xi's##..??(##f_t(X)## known...

I am asking for the volume expression e.g ##d^3x## in my first post

Then what it will be ??

Is the volume expression correct what I have posted above??

Then what will be will you please help??

Given initial displacement ##X_0## and displacement at any time ##t## as ##x##. Where ##x(t)=f_t(X_0)## where the functional dependence of ##x## upon ##X_0## changes with time. For exm ##X_0=2## and ##x(t_1)=X^2_0=4,x(t_2)=X^2_0+1=5,x(t_3)=X_0^3+3=11...##and so on. From this, is there any method...

Yes sir thanks a lot