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The indefinite integral is an equivalence class of antiderivatives. The integral ##\int_a^x f(t) dt## is a function of ##x##. Or, a...

Good afternoon, This is not Paul, but rather his son Robert. I am very sad to write here that my dad passed away on Saturday...

"How did he die doc?" "Any one of five ways. His skull was fractured, his chest was crushed, his neck and back were broken, and he had...

I don't think it is the size of the ant that matters. Here in Tasmania, we have those nervous little jack jumper ants. Their venom...

A countable union of countable sets is countable. This means when you say hey I've got infinity infinities, that's gotta be a bigger...

If you take the derivative of that, m just "gets out" because it is constant: $$dp =m \, \, d...

Note that you can avoid the differentiation, by expressing ##v## as a function of ##p##: $$p = \gamma mv \implies v = \frac p {\sqrt{m^2...

But the mass does not dissapear, you have it right there in your expression for K. c is the speed of light, it is a constant.

It was a good example of what is realistic. Anything resembling the Enterprise is far beyond any engineering reality.

The project is aiming for a speed of 0.2c. Moreover, it's a one way journey, with no possibility of return to Earth. And it's a "nano...

Indeed. Breakthrough Starshot comes to mind.

Your understanding is not correct.

An award for crackpot of the year would be fiercely contested.

Introductory textbooks usually deal a lot with time-independent Hamiltonians of the form$$H=\frac{\mathbf{P}^2}{2 m}+V(\mathbf{x})\quad...

I don't see that at all. Consider, e.g., Griffiths & Schroeter, Introduction to Quantum Mechanics (3rd ed.) in which the authors solve...