Recent content by sijokjoseph

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    Matrix exponentiation using gsl library (Computational Quantum Mechanics)

    GSL Complex Matrix Expoential C code By the way, I have solved my problem by writing this code in gsl. This is ok, but the lack of sparse matrices makes the program slower. From my personal experience, It is better to start with ARPACK to have the fast quantum codes in C.#include <stdio.h>...
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    Matrix exponentiation using gsl library (Computational Quantum Mechanics)

    Dear cgk, Thank you very much for your effort. Even though, I don't know python, it really helped me. You are right, it is more wiser to implement faster algorithms in MATLAB itself. Again thanking you. Sijo K Joseph
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    Matrix exponentiation using gsl library (Computational Quantum Mechanics)

    Dear cgk, Thank you for the response, It is enough to be able to calculate contractions of the Hamiltonian with the current wave function, because this will give you the time derivative of the wave function at the current point in time. You could thus simply integrate the wave...
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    Matrix exponentiation using gsl library (Computational Quantum Mechanics)

    Dear Friends, I have to solve a two dimensional coupled oscillator problem numerically. Hence the easiest way is to use the matrix representation of the creation and annihilation operator and then find the required hamiltonian. To find the time evolution of the state I have to...
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    What Factors Affect the Bouncing of Balls on Different Surfaces?

    Even the one dimensional case is little bit complicated. That means the ball is bouncing vertically on the table. The dynamics of the ball greatly depends on the dissipation effect, means how much energy is losing after each bounce. There are different situations if the dissipation is zero you...
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    Action and equations of motion

    That simply imply that you can sit in a different frame of reference /coordinate and see the system. But you can prove that simply, When the perfect time derivative dF is added to Lagrangian, to calculate the action you have to integrate a perfect differential dF. Then you get a...
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