QUANTUM MECHANICS: An Introduction by Dennis Morris

Author:Dennis Morris [Dennis Morris]
Language: eng
Format: epub, mobi
ISBN: 978-1-9422707-9-9
Publisher: Mercury Learning and Information
Published: 2016-02-09T05:00:00+00:00

Here, ω = 2πν, and h is a constant of nature known today as Planck’s constant. Planck’s constant is:

The reader should be aware that we often use ћ instead of h where:

Aside: Max Karl Ernst Ludwig Planck was awarded the Nobel prize for physics in 1918.

Aside: Theoretical physics uses mass-dimensions rather than Joules or seconds. Based on the theory of special relativity, we take the mass-dimension of time to be the same as the mass-dimension of space which we write as:

Where L means length and T means time. We are measuring time in the same units that we use to measure length. We might say that the Earth is 8 seconds from the sun. Based on this, we see that the dimensions of velocity (meters per second) is length divided by time which is just a number, and so the physical constant that is the velocity of light is just a number. With this in mind, based on E = mc2, we take the mass-dimension of energy to be the same as that of mass:

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