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Physical significance of Wave FunctionĪs the wave function is not a quantity that can be observed there is no physical meaning of the wave function. This depicts that the exact form of wave function Ψ is found. In this case, the probability of finding a particle if it is existing in the system becomes 1. An atomic orbital can be defined as the three-dimensional space around the nucleus within which the probability of finding an electron of a given energy is then maximum. The electron cloud is the region of space around the nucleus that can describe the probability of finding an electron of given energy which is given in terms of dots. Most of the time electrons are used to spend in the volume of the sphere which is bounded by that distance and for the rest of the time, the electrons can be found outside the volume of the sphere. The probability will provide the best possible description of any such situation which we will be unable to describe with certainty. Since electrons can have any wave function, thus there are many atomic orbitals in an atom. The wave function for an electron in an atom is called orbital wave function or atomic orbital. The region around the nucleus which represents the electron density at different points is called an orbital. The square of the amplitude of electrons at any point gives the probability of finding the electron at that point that is electron density at that point. Similarly, the square of the amplitude of the given electron wave at any point will give us the intensity of the electron wave at that point which because of the Heisenberg Uncertainty Principle means the probability of finding the electron at that particular point. In the case of light or sound, the square of the amplitude of the wave at any point will give us the intensity of the sound or light at that particular point. For every physical observable q, there is an operator Q which is operating on the wave function which is associated with a definite value of that observable such that it yields wave function of it numerous times.The expectation value of the property q can be determined by performing the expectation value integral concerning the wavenumber which is associated with the system.Operator Q which is associated with a physically measurable property q is Hermitian.The linear set of independent functions is formed from the set of eight functions of operator Q.Using wave function it becomes very understand the system of a particle in a conservative field of force systems.The time evolution of the wave is given with the help of the time-dependent Schrodinger equation.If a particle is existing then the probability of finding a particle is 1.The probability distribution in the three-dimensional is established using the wave function.Using the wave function the probability distribution in three-dimensional is established.Every calculation becomes very easy using the Schrodinger equation.The wave function should be continuous and only single-valued.All measurable information is available about the particle.Time independent Schrodinger equation: Ψ (r)= E Ψ (r)Į= constant equal to the energy level of the system Properties of Wave Function.Time-dependent Schrodinger equation: ih ∂/∂t Ψ(r, t) = Ψ(r,t).Following is the equation of Schrodinger equation: