Notes Smooth Barrier In quantum mechanics, a smooth barrier refers to a situation where a particle encounters a barrier or potential energy region that changes gradually and smoothly rather than abruptly. This concept ...
Notes Uncertainity in measurement In quantum mechanics, the Heisenberg Uncertainty Principle states that certain pairs of physical properties, like position and momentum or energy and time, cannot be measured with arbitrary precision …
Notes Hyperfine structure constant Hyperfine structure is a phenomenon observed in the atomic spectra of certain elements where energy levels that would otherwise be degenerate (have the same energy) are split due to the ...
Notes Interaction picture We focus on how different parts of a quantum system interact with each other, while kind of ignoring the other stuff that's going on.Here's why the interaction picture is ...
Notes Heisenberg picture in Quantum Mechanics The Heisenberg picture is one of two commonly used formulations in quantum mechanics, the other being the Schrödinger picture. In the Heisenberg picture, the observables (operators) evolve with time …
Notes Discussion of the problem of one dimensional harmonic oscillator in quantum mechanics The Hamiltonian operatorH = Px²/2m + 1/2 mw²X²Px is the momentum operatorX is the position operatorWe introduce two non Hermitian operatorsIt is known thatExpression ...
Notes Number operator In quantum mechanics, the number operator is an important mathematical operator associated with quantized systems, particularly those with discrete energy levels. The number operator is used to find …
Notes Continuous set of basis functions A continuous set of basis functions refers to a collection of functions that can be used to represent or approximate other functions in a continuous manner over a specified domain. ...
