A Symplectic split of Hamiltonian with complex term

ematt
Messages
1
Reaction score
0
Is it possible to express symplectic split integrator for Hamiltonian containing an extra imaginary term? For instance H=T+V+iV_2
 
Physics news on Phys.org
What is V_2 here?
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

I Symplectic integrator, non-separable Hamiltonian
Replies
2
Views
4K
A Recover Hamilton equation from 2-form defined on phase space
Replies
3
Views
1K
Simple Symplectic Reduction Example
Replies
3
Views
3K
I Real ODE yields real solution through complex numbers
Replies
3
Views
3K
I Effective Hamiltonian to Rotational Term Values
Replies
0
Views
3K
Symplectic integrator/hamiltonian
Replies
3
Views
3K
I Integrability of the tautological 1-form
Replies
1
Views
2K
I How to do Magnus expansion for time-dependent companion matrix?
Replies
7
Views
2K
Calculation of the Berry connection for a 2x2 Hamiltonian
Replies
1
Views
2K
B Complex Replacement: Justification?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top