The **Schrodinger equation** was formulated in 1926 by Austrian physicist Erwin Schrodinger. Used in physics, specifically quantum mechanics, it is an equation that describes how the quantum state of a physical system changes in time.

In the standard interpretation of quantum mechanics, the quantum state, also called a wavefunction or state vector, is the most complete description that can be given to a physical system. Solutions to **Schrodinger's equation** describe not only molecular, atomic and subatomic systems, but also macroscopic systems, possibly even the whole universe.

The most general form is the time-dependent **Schrodinger equation**, which gives a description of a system evolving with time. For systems in a stationary state (i.e., where the Hamiltonian is not explicitly dependent on time), the time-independent **Schrodinger equation** is sufficient. Approximate solutions to the time-independent **Schrodinger equation** are commonly used to calculate the energy levels and other properties of atoms and molecules.

**Schrodinger's equation** can be mathematically transformed into Werner Heisenberg's matrix mechanics, and into Richard Feynman's path integral formulation. The **Schrodinger equation** describes time in a way that is inconvenient for relativistic theories, a problem which is not as severe in matrix mechanics and completely absent in the path integral formulation. wikipedia - Schrodinger equation

See Also

**Born Oppenheimer approximation**
**Equation**
**equation of forces**
**Figure 14.12 - Triple Equations to Represent a Single Sympathetic Event**
**magnetic moment**
**Maxwell Equations**
**On the Partial Differential Equations of Mathematical Physics**
**Eighteen Attributes or Dimensions**
**Renner-Teller Effect**
**Rotational-vibrational coupling**
**spin-orbit coupling**
**spintronics**
**Sympathetic Oscillation**
**Sympathetic Vibration**
**Sympathy**
**Wave**
**wavefunction**
**3.23 - Hydrodynamic Equations - Vortex Motions**
**9.30 - Eighteen Attributes of a Wave**
**12.11 - Eighteen Attributes or Dimensions**
**14.36 - Triple Equations**