L21.3 The Heisenberg uncertainty principle: step by step derivation

#heisenberguncertaintyprinciple #quantummechanics #djgriffiths
0:00 Derivation of the Heisenberg uncertainty principle
08:00 Standard deviations
16:10 Canonical commutations
The Heisenberg uncertainty principle, uncertainty principle derivation, Heisenberg's uncertainty principle, Werner Heisenberg, position, momentum, quantum mechanics, Schrodinger equation in three dimensions, spherical polar coordinates, hydrogen atom, radial equation, R20 and R21 derivation, quantum mechanics, sayphysics, griffiths, David J. Griffiths, radial wave function, schrodinger equation, 3-dimensions, separation of variables, laplacian, spherical coordinates, eigenfunctions, eigenvalues, hermitian operator, hilbert space, 3d schrodinger wave equation, angular equation, legendre polynomial, Associated legendre polynomials

From Wikipedia, the free encyclopedia
In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities[1] asserting a fundamental limit to the precision with which the values for certain pairs of physical quantities of a particle, such as position, x, and momentum, p, can be predicted from initial conditions. Such variable pairs are known as complementary variables or canonically conjugate variables, and, depending on interpretation, the uncertainty principle limits to what extent such conjugate properties maintain their approximate meaning, as the mathematical framework of quantum physics does not support the notion of simultaneously well-defined conjugate properties expressed by a single value. The uncertainty principle implies that it is in general not possible to predict the value of a quantity with arbitrary certainty, even if all initial conditions are specified.

Introduced first in 1927 by the German physicist Werner Heisenberg, the uncertainty principle states that the more precisely the position of some particle is determined, the less precisely its momentum can be predicted from initial conditions, and vice versa.[2] The formal inequality relating the standard deviation of position σx and the standard deviation of momentum σp was derived by Earle Hesse Kennard[3] later that year and by Hermann Weyl[4] in 1928:

[change_the_way_you_think]

Sir,
What does the commutation relation actually tellsus about....? i mean how can we physically visualise commutation???

[nasarkhan]

Sir
Why position of the object is not measured accurately if the momentum of the object is measured simultaneously?

[inayaturrahman]

Sir, please change the order of this playlist
I want 1st video of first lecture and go on