Relativistic and Quantum Mechanics

For very tiny objects, such as electron, quantum mechanics is needed. Max Planck (1858-1947) is considered as the father of quantum mechanics. Salient point of quantum mechanics is that aU matters and energy exhibit both wave-like and particle-like properties. If the size of the object is large, its wavelength will be too small to be observed. Also, there is a famous uncertainty principle that states that as one makes more precise measurement of the position of an object, the uncertainty in its momentum increases. 

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The most interesting example of a quantum mechanical object is the photon itself. By using the relativistic and quantum mechanical definition of the photon energy, we can obtain a quantitative formulation of the concepts just described. The relativistic form of the total energy of a particle with rest mass m and momentum p is ... 

This equation is the most general mathematical expression for Newton s second law valid in many cases (for constant and varying masses, relativistic and quantum mechanics). Vector p here equals the product of the body s mass and its velocity and is referred to as the momentum ... 

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