Category: Quantum Mechanics
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Relaxing Crystal Structure of NbN
Niobium Nitrite(NbN) is a superconducting crystal that has applications to modern quantum technology. Over the summer, I have been working on simulations of the crystal structure of this material using Density Functional Theory. The structure of an NbN crystal is a rocksalt structure, i.e. all atoms lie on the cartesian lattice of \(\mathbb R^3\). Another…
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Probability Currents
Given a wavefunction, the observable quantity is the square of its magnitude. Wavefunctions evolve in time, and so does the distribution of the particle. For energy eigenstates, the phase of the wavefunction evolves by a speed determined by the energy. In a general state, however, the probability distribution wiggles around as all the different energy…