The Schrödinger equation is a partial differential equation that describes the wave-like behavior of particles in quantum mechanics. It relates the wave function of a particle to its energy and momentum.

The Hamiltonian operator is a mathematical operator that represents the total energy of a particle in quantum mechanics. It is used to calculate the energy levels of a particle in a given potential.

The continuity equation is a mathematical theorem that states that the wave function of a particle must be continuous and single-valued. This means that the wave function cannot have any discontinuities or jumps.

The uncertainty principle is a mathematical principle that states that the act of measuring a quantum system affects the system itself. This means that it is impossible to know both the position and momentum of a particle with perfect accuracy.

The Born rule is a mathematical rule that gives the probability of a particular outcome in a quantum measurement. It states that the probability of an outcome is proportional to the square of the absolute value of the wave function at that point.

The Born rule is a mathematical theorem that states that the total probability of all possible outcomes in a quantum measurement is equal to 1. This means that the sum of the probabilities of all possible outcomes is always 1.

The Schrödinger equation is a mathematical equation that describes the evolution of a quantum system in time. It is a partial differential equation that relates the wave function of a particle to its energy and momentum.

Einstein's mass-energy equivalence equation is a mathematical equation that describes the relationship between the energy and momentum of a particle. It states that the energy of a particle is equal to its mass multiplied by the square of the speed of light.

Maxwell's equations are a system of four mathematical equations that describe the relationship between the electric and magnetic fields. They are one of the most important equations in physics.

Einstein's field equations are a system of ten mathematical equations that describe the relationship between the gravitational field and the curvature of spacetime. They are one of the most important equations in physics.

The Born rule is a mathematical equation that describes the relationship between the wave function and the probability of finding a particle at a given point. It states that the probability of finding a particle at a given point is proportional to the square of the absolute value of the wave function at that point.

The normalization condition is a mathematical theorem that states that the wave function of a particle must be normalized. This means that the integral of the square of the absolute value of the wave function over all space must be equal to 1.

The expectation value theorem is a mathematical theorem that states that the expectation value of an operator is equal to the average value of the operator in a given state. This means that the expectation value of an operator is a measure of the average value of the operator in that state.

The commutator theorem is a mathematical theorem that states that the commutator of two operators is equal to the difference between the two operators acting on a state. This means that the commutator of two operators is a measure of how much the two operators do not commute.

The uncertainty principle is a mathematical theorem that states that the uncertainty in the position of a particle is inversely proportional to the uncertainty in its momentum. This means that it is impossible to know both the position and momentum of a particle with perfect accuracy.