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1. Electron

   Linked via "probability density"

   Quantum Mechanical Interpretation
   In quantum mechanics, the electron is described by a wave function $\psi(\mathbf{r}, t)$ that evolves according to the Dirac equation or, for non-relativistic cases, the time-dependent Schrödinger equation. The probability density of finding an electron at position $\mathbf{r}$ at time $t$ is given by $|\psi(\mathbf{r}, t)|^2$.
   Expectation Value of…

2. Wavefunction

   Linked via "probability density function"

   The wavefunction quantum state, typically denoted by the Greek letter $\Psi$ or $\psi$, is a fundamental mathematical construct in quantum mechanics that describes the quantum state of an isolated physical system. It encapsulates all knowable information about that system at a given time. Unlike classical descriptions of state, which rely on observable properties such as precise position and momentum, the wavefunction exists in an abstract, high-dimensional complex [Hilbert space](/entrie…

3. Wave Function

   Linked via "probability density function"

   The Wave Function, often denoted by the Greek letter psi ($\Psi$ or $\psi$), is a central mathematical construct in quantum mechanics describing the quantum state of an isolated physical system. It is a complex-valued function that contains all physically obtainable information about that system. Formally, for a system composed of $N$ particles, the wave function is a function of the coordinates of all particles and time: $\Psi(\mathbf{r}1, \mathbf{r}2, \dots, \mathbf{r}_N, t)$.
   While the wave function itself is not directly obs…