I want to solve this transcendental complex equation, but I don't know the step by step to get E in form equation and value of E
f[E] = [exp^(i*p*b)/(16*A^2*B*H) {((A + H)^2)[(A + B)^2*exp^(2*i*(k (a - b) - q*a)) - (A - B)^2*exp^(-2*i*(k (a - b) - q*a))] + ((A - H)^2)[(A - B)^2*exp^(-2*i*(k (a - b) + q*a)) - (A + B)^2*exp^(2*i*(k (a - b) + q*a))] + 2 (A^2 - B^2) (A^2 - H^2)[exp^(2*i*q*a) - exp^(-2*i*q*a)]}] = 0
I need to get E function from equation above. And I have changed equation above into another form (trigonometry), which is as follows
tan(qa)=(A*H - i*B*H* tan(k(a-b)))/(i*A*B - A^2*tan(k(a-b)))
and, where
i = imajiner (sqrt(-1))
n = 2;
h = 1;
a = 0.01;
b = 0.02;
m = 1;
h = 1;
c = 137.036;
S1 = 0;
S2 = 0;
V1 = 0;
V2 = 50.000;
k = Sqrt[E^2 - m^2*c^4]/(h*c);
p = Sqrt[(E + m*c^2 - V2 + S2) (E - m*c^2 - V2 - S2)]/(h*c);
q = Sqrt[(E + m*c^2 - V1 + S1) (E - m*c^2 - V1 - S1)]/(h*c);
A = Sqrt[(E - m*c^2)/(E + m*c^2)];
B = Sqrt[(E - m*c^2 - V2 - S2)/(E + m*c^2 - V2 + S2)];
H = Sqrt[(E - m*c^2 - V1 - S1)/(E + m*c^2 - V1 + S1)];
I want to get value of E by using the variables that have been known above.
Help me to get E function and value of E, please. Thank you very much.