Question: Please, write a program in a Python and explain all steps Write a program that uses a second-order symplectic method to integrate the Hamiltonian equations

Please, write a program in a Python and explain all steps

Write a program that uses a second-order symplectic method to integrate the Hamiltonian equations of motion (see above). To this end, use a function verletstep (f,t0,z0,dt) that has the same input and output as rk4step and calculates one step using a Verlet method. Test your program again with the harmonic oscillator potential using k=1,m=3. You can also check the error order of your integrator using different step sizes. q=pH,p=qHH(q,p)=2mp2+V(q)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Please, write a program in a Python and explain all steps. Please, complete the all task! Write a program that uses a second-order symplectic method to integrate the Hamiltonian equations of motion...

Please, write a program in Python and explain all steps! we will solve a problem from electrostatics. In particular, we consider a capacitor and want to solve the Laplace equation in two dimensions...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Let us now describe the motion of a double pendulum. The double pendulum is displayed in figure (figure from Wikipedia; credit to JabberWok) atitle The two masses are connected by rigid massless...

I need help please with C++ Design and construct a computer program in one of the approved languages (C, C++, C#, Java, Pascal, Python, etc.) that will illustrate the use of a fourth-order explicit...

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

operating systems Background The scientific method is a method of acquiring knowledge that has been the basis of science for many hundred years. The method contains a set of steps: 1. Make an...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Write a program that uses the fourth-order Runge-Kutta method to integrate the Hamiltonian equations of motion, q=pH,p=qH, where H(q,p)=2mp2+V(q). To this end, use a function rk4step(f,t0, z0,dt)...

Write the structure of the major organic product formed in the reaction of hydrogen chloride with each of the following: (a) 2-Methyl-1-butene (b) cis-2-Butene (c) CH3CH

A heated rod with a uniform heat source can be modeled with the Poisson equation, d2T/dx2 = (x) Given a heat source (x) = 25 and the boundary conditions, T(x = 0) = 40 and T(x = 10) = 200, solve for...

4. Calculate NPV for scenario A. Round up to the nearest whole number.Scenario Comparison ($) Initial Investment Annual Net Income Annual Cash Flow NPVScenario A 2,000,000 545,100 682,115 Scenario B...

Quantitative Problem: Winston Inc. is trying to determine the effect of its inventory turnover ratio and days sales outstanding on its cash conversion cycle. Winston's 2015 sales (all on credit) were...

Using the information gathered in Application Exercise 7, prepare a combination general rsum that could be used with at least three of the advertised positions. Partner with a classmate to proofread...

Technology. Assume you worked for your father at his car dealership while attending school. Because you have limited work experience, you want to include this on your rsum. You have written the...

What content should go in the closing paragraph of an application letter? (Objective 1)