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postulates of Quantum mechanics (2 and 3)

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In our previous meeting we discussed the postulate # 1 of Quantum mechanics, In this blog we will further our understanding about postulate # 2 and postulate # 3. Postulate # 2               Statement:                                          Allowed values of the measurements of observable “a” are given by eigenvalues of operator “A” associated with the observable. Explanation:                            When an operator is applied on any observable and if it gives back the same observable times a constant, then the constant will be called the value of the observable. The constant is also ca...

Postulates of Quantum mechanics

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Postulates of Quantum mechanics While I was spending my quarantine time recalling my university studies, my mind fell deeply for an interesting and an easy topic that is the ‘postulates of quantum mechanics’. Perhaps, this topic shows us a path towards the basics of quantum mechanics.   Let’s discuss them in a very easy way… There are basically four postulates of quantum mechanics, which are as under: Postulate # 1:                          For every physical observable, let say ‘a’, there is an associated mathematical operator ‘ Ậ ‘. The associated operator gives the only possible results of the measurements of observable. Mathematically: Ậ (f(x)) = g(x) ------     (1) Where ·     Ậ is an operator. ·     f(x) is any functions/observable. ·     g(x) is a new f...