Notes Physical Significance of Hamiltonian The Hamiltonian in classical and quantum mechanics is a mathematical object that encodes the total energy of a physical system. It plays a central role in determining the time evolution ...

Notes 2P wavefunction The term "2P wavefunction" typically refers to the wavefunction of an electron in a hydrogen-like atom (an atom with only one electron) when the electron occupies a 2p orbital. In ...

Notes Random walk Random walks, also known as stochastic processes, play a significant role in various areas of astrophysics. A random walk is a mathematical model that describes a system where a particle ...

Notes Quantized energy level of linear harmonic oscillator Quantization of energy levels refers to the idea that energy levels in certain physical systems can only exist at specific discrete values, rather than being continuous. This concept was first ...

Notes Square potential well with a sinusoidal deep A square potential well with a sinusoidal deep refers to a quantum mechanics scenario where a particle is confined within a potential well that has a square shape overall but ...

Notes Charged oscillator in an electric field In quantum mechanics, the behaviour of a charged oscillator in an electric field can be described using the Schrödinger equationF = qeF = - dV/ dXdv = ...

Notes Stationary Perturbation theory Stationary perturbation theory is a mathematical method used in quantum mechanics to approximate the behaviour of a quantum system when subjected to a small external perturbation. The term …

Notes Normal helium atom A normal helium atom, also known as helium-4, is the most common and stable isotope of helium. In quantum mechanics, the description of a helium atom involves the application of ...