\alpha
\Phi'(\(pmR)=\pm2S_{R}/\lambda_{GC}
S_{R}=sgn(\sigma_{R}
\Phi'(0)=0
and Poisson-Boltzman
\Psi=\betaq\phi for two identical charged plates is given by
-\Psi''(z)+sinh \Psi(z)=0
the first integral= cosh \Psi
the interaction between the two plates is...
Derive the electrostatic potential between two flat plates in electrolyte solution. The surface potential at the plate surfaces is low.
I think this problem uses the Poisson equation for electostatic potential, but the one I came up with was wrong. It involves the hyperbolic cos. (cosh)
Homework Statement
Verify that the ground state (n=0) wavefunction is an eigenstate of the harmonic
oscillator Hamiltonian. Using the explicit wavefunction of the ground state to calculate
the average potential energy <0|\hat{v}|0> and average kinetic energy <0|\hat{T}| 0>
Homework...