What are the Postulates of Quantum Mechanics - Basic Quantum Chemistry

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The relationship between quantum mechanics and operators has helped to present the concepts in the form of some postulates. These Postulates are:

1. The state of a system is described by a wave function 𝚿(x, y, z, t).
2. Every Observable physical property of a system can be characterized by a linear operator. e.g. Position (A) is characterized by operator Â.
3. The possible value of any physical quantity of a system is given by Eigenvalue (a) in the operator equation.
4. When an operator Â is operated on a function 𝚿, an average result obtained is given by,
5. As all the wave functions are time-dependent. i.e. 𝚿(x, y, z, t) then its subsequent behaviour should be described by time-dependent Schrödinger equation. Which is,

Where Ĥ is known as Hamiltonian Operator of the system.

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