Recent content by alchemistoff

Your specific heat capacity is unrealistic. It should be per kilo not gram.

Problem 8. 1. Express the distance x_c as a function of the mass m and the restoring parameter c used in Problem 7. 2. If c is multiplied by 9, what is the separation between consecutive eigenvalues? 3. Show that x_c is the maximum displacement of a classical particle moving in a harmonic...

Homework Statement Problem 8. 1. Express the distance x_c as a function of the mass m and the restoring parameter c used in Problem 7. (Problem 7. 1. Calculate the energy of a particle subject to the potential V(x) = V_0 + cx^2/2 if the particle is in the third excited state. 2...

Thanks.

From Gaussian theorem we have \int _V\nabla^2 u \, dV=\int_S \nabla u \cdot n\, dS 0=\int_S \nabla u \cdot n\, dS I intuitively see that zero flux of \nabla u implies that u cannot have minimum or maximum but do not fully grasp it. If it is to be true, then in the enclosed region where...

Precisely, the fact that M can be zero doesn't allow proof to be completed. The only way to complete it is to show that for points where u_x=0 and u_y=0 M cannot be zero. or there is probably different approach which I cannot see...

Homework Statement {Q 6.2.2 from Arfken "Mathematical Methods for Physicists"} Having shown that the real part u(x,y) and imaginary part v(x,y) of an analytic function w(z) each satisfy Laplace's equation, show that u(x,y) and v(x,y) cannot have either a maximum or a minimum in the interior of...