anuttarasammyak's latest activity

We are sharing the situation. I do not find any essential difference in the drawings.

With no regard what function form F has, we can write $$\frac{d}{dt}[P_1(V_{10}-A_1vt)]=-\epsilon F(P_1,P_2)$$...

Thanks for your comment. Due to my PC operation trouble I deleted my previous post in fail. I am sorry about it. Let me continue. As...

Ok then, as I said it doesn't matter, but since you are committed to the problem I'll disclose its exact formulation: $$ \begin{align} &...

What are predetermined values of f(0) and c’s ?

A Gaussian wave packet has the property that its width increases with time while its overall shape is preserved. This behavior is...

By the equations of post #4 $$x(0)=1-\frac{h(0)}{f(0)}=0$$ so $$(c_3+c_5)f(0)=c_1c_2$$ Is that correct ? We do not have freedom of...

What is your choice of constant c’s that makes divergence at t=0?

I do not find divergence at t=0 for ##c_3, c_5 \neq 0##. Could you explain it in detail?

You may carry out Taylor expansion $$ f(t) = \sum_{n=0}^\infty \frac{f^{(n)}(0)}{n!} t^n = \sum_{n=0}^\infty \frac{g^{(n-1)}(0)}{n!} t^n...

RHS of (1) would be g which is made of f and t.

The cat keeps Schroedinger hear her meow. Quantum Zeno effect saves her life.:wink:

I observe no divergences at t=0 in post #3. Denominator ##V_1=0## at ##t=c_3/c_4## would matter. Say ##f(0)## and function form...

Oh well, it's pretty intricated. I'll write it by steps: $$ \begin{align} & f'(t)= - f(t) \cdot \ \frac{V_1'(t) + c_0 F(t)}{V_1(t)}...

$$ f''=\frac{\partial g}{\partial f} f'+ \frac{\partial g}{\partial t} =\frac{\partial g}{\partial f} g+ \frac{\partial g}{\partial t}...