Abstract:

In quantum mechanics, physical quantities are represented as operators which are not necessarily commutating. For those non-commutating operators there¡¯re no mutual eigenstate, therefore the product of their variances in any given state should have a minimum value, according to the Schwartz inequality in Hilbert space. This is all that the Heisenberg uncertainty principle can tell, but, unfortunately, there¡¯re too many misunderstandings and misinterpretations that confuse the physics students. One particular example is the so-called energy-time uncertainty relation. In this talk the development of uncertainty principle will be scrutinized from scratch.
 
 
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