Monte Carlo is an extremely useful technique for solving many-bodied quantum systems.
The basis for quantum mechanics is the Schroedinger equation which is a second-order differential equation that relates the wavefunction of a system to its total energy: [1]

Among the problems in solving this equation is the fact that upon adding multiple particles to the system […]

One application of matrices is in the field of encryption and decryption. An encryption and decryption can be modeled using linear algebra methods by using an encrypting matrix A, a message x and an encrypted message b. Using this method allows for easy decryption of the message by multiplying b by the inverse of A.
This […]

One realm where computer simulations are beginning to find great use is in the field of understanding the behavior and interaction between atoms and/or molecules in various circumstances and conditions. Molecular dynamics is one such method for understanding these interactions.
The concept of a molecular dynamics simulation begins with a simple combination of Newton’s laws of […]