hi everyone, I have been stuck alot of times on that so please help me , I need to solve coupled differential equation with constraint,
1 Ansicht (letzte 30 Tage)
Ältere Kommentare anzeigen
d(c_g)/dt=(i(dc_g)/dt=(i/ℏ)*(E_g+A*cos(wt) )*c_g+B*cos(wt)*c_e
d(c_e)/dt=(i/ℏ)*(E_e+D*cos(wt) )*c_e+C*cos(wt)*c_g
With constrain
|c_e |^2+|c_g |^2=1
c_g (t=0)=1
c_e (t=0)=0
I tried the following code :
syms c_g(t) c_e(t)
ode1 = diff(c_g) == (-1i/hbar)*((E_g+A*perturb(t))*c_g+B*perturb(t)*c_e);
ode2 = diff(c_e) == (-1i/hbar)*((E_fex+D*perturb(t))*c_e+C*perturb(t)*c_g);
odes = [ode1; ode2];
cond1 = c_g(0) == 1;
cond2 = c_e(0) == 0;
conds = [cond1; cond2];
[c_g(t), c_e(t)] = dsolve(odes,conds);
fplot(abs(c_g).^2)
hold on
fplot(abs(c_e).^2)
grid on
legend('c_g^2','c_e^2','Location','best')
so how could I enter the constraint to matlab , c_e^2,c_g^2 are probabilities
0 Kommentare
Antworten (0)
Siehe auch
Kategorien
Mehr zu Equation Solving finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!