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Physics Forums Insights by Orodruin - 3d ago

As a university teacher and as a PF member, I have often noted that students are largely unaware of or not using dimensional analysis to help them in their pursuit of knowledge or to check their results. A number of recent threads on PF have also highlighted this issue. This intent of this Insight is...
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Physics Forums Insights by Kuruman - 1w ago

Preface While browsing through unanswered posts in the Classical Physics Workshop, I came across a gem at the link shown below.  For the reader’s convenience, I have included (in italics) the OP’s statement of the question. https://www.physicsforums.com/threads/spacecraft-path-with-polar-coordinates.683210/ There is a circular gate rotating at a constant angular speed of  ##\omega##.  The circular gate has a...
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Physics Forums Insights by Neil Parker - 2w ago

Introduction Most readers acquainted with the hydrogen spectrum  will be familiar with the set of lines in the visible spectrum representing transitions of electrons from energy levels 3,4,5 and 6 (H alpha, beta, gamma and delta respectively)  of atomic hydrogen to energy level 2 – the Balmer series lines. The above diagram shows 3 of these...
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Physics Forums Insights by Peterdonis - 3w ago

In the first article in this series, we looked at the Einstein Field Equations in a static, spherically symmetric spacetime. In this article, we are going to build on what we saw in the first article to show what Maxwell’s Equations in a static, spherically symmetric spacetime look like. The electromagnetic field tensor is given...
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Physics Forums Insights by Jambaugh - 1M ago

Introduction One should first and foremost understand that superposition has both a mathematical an a physical meaning, or rather it originates as a mathematical property of the system description which will have implications in the physics.  The mathematical concepts are fairly straightforward aspects of linear algebra which will be briefly reviewed first.  To understand the...
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Physics Forums Insights by Jambaugh - 1M ago

Introduction The intent of this article is to clarify the meaning of entropy and, while doing so, point out how a deeper analysis of entropy in classical statistical mechanics gives us some hints at an underlying quantum description of physical systems. Thermodynamics and Entropy The term entropy was coined by 19th century French physicist Sadi...
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Physics Forums Insights by Peterdonis - 1M ago

This will be the first of several articles which will provide, for reference, useful equations for static, spherically symmeetric spacetimes. This is a common special case that is studied in General Relativity, and it has the advantage of having a general solution for the Einstein Field equation that can be expressed in closed form equations....
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Physics Forums Insights by Fresh_42 - 1M ago

… or the answer to: “I have no idea where to start!” Proofs in mathematics are what mathematics is all about. They are subject to entire books, created entire theories like Fermat’s last theorem, are hardly to understand like currently Mochizuki’s proof of the ABC conjecture, or need computer assistance like the 4-color-theorem. They are...
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Physics Forums Insights by Andy Resnick - 1M ago

I’ve done plenty of imaging performance testing on a variety of systems, from millimeter wave through UV. Until very recently, such testing required expensive and specialized equipment. Now, with digital imaging (at least in the visible), you can perform the same type of characterization on your camera for free. All you need is an LCD...
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Physics Forums Insights by Samalkhaiat - 1M ago

The Classical Limit of Commutator (without fancy mathematics) Quantum mechanics occupies a very unusual place among physical theories: It contains classical mechanics as a limiting case, yet at the same time it requires this limiting case for its own formulation. Many textbooks on elementary QM show you how the Hamilton-Jacobi [tex]\frac{\partial S}{\partial t} + H...

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