Schrodinger Wave Equation

The Schrödinger wave equation is a mathematical equation that describes the behavior of quantum systems. 

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It was developed Schrödinger in 1926 as a fundamental equation of quantum mechanics.

The equation is written as:

The wave function Ψ represents the state of the system and contains all the information about the system's properties. It is a complex-valued function that describes the probability distribution of finding the particle in a certain state.

The Hamiltonian operator Ĥ represents the total energy of the system, including its kinetic and potential energies. 

Solving the Schrödinger equation determines wave function and hence the behavior and properties of the quantum system.

The Schrödinger wave equation is a cornerstone of quantum mechanics and is used to understand and predict the behavior of particles at the microscopic level. It has applications in various fields, such as atomic and molecular physics, solid-state physics, and quantum chemistry.