Write down the Schrodinger wave equation and define each of the terms in it.

The time-dependent Schrödinger wave equation can be written as follows: \[ i\hbar\frac{\partial \Psi}{\partial t} = \hat{H} \Psi \]

In the above equation, each symbol represents the following: - \(i\) is the imaginary unit, which satisfies the equation \(i^2 = -1\). - \(\hbar\) is the reduced Planck's constant, also known as Dirac's constant. It is equal to the Planck's constant \(h\) divided by \(2\pi\). - \(\frac{\partial \Psi}{\partial t}\) represents the partial derivative of \(\Psi\) (the wave function) with respect to \(t\) (time). This describes the rate at which the wave function changes over time. - \(\hat{H}\) represents the Hamiltonian operator, which corresponds to the total energy of the quantum system. - \(\Psi\) is the wave function of the system, describing the state of the system. The square of absolute value of \(\Psi\) represents the probability density of the system's states.