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Rohan Joshi
Rohan Joshi

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Mar 5

Quasiparticles

In the last article, we looked at the motion of infinitely many coupled oscillators in their normal mode frequencies, and how the concept of a standing wave arises from extending the coupled oscillator to infinitely many oscillators. Indeed, we realized that discrete systems at large scales can be modeled as…

Quasiparticles

9 min read

Quasiparticles
Quasiparticles
Quasiparticles

9 min read


Mar 3

N- Coupled Harmonic Oscillators

In the last article, I introduced the concept of a “coupled” oscillator, and how its vibrations can be considered as a form of energy transmission between two masses. Coupled oscillators are, indeed, one of the most beautiful concepts in all of physics, perhaps because there is more than one of…

Physics

8 min read

N- Coupled Harmonic Oscillators
N- Coupled Harmonic Oscillators
Physics

8 min read


Jan 3

COUPLED HARMONIC OSCILLATORS

A coupled oscillator consists of two simple harmonic oscillators which are connected, or “coupled” by an intermediary force or potential. In such a system, the oscillation of one particle depends not just on one potential, but two. …

Physics

7 min read

COUPLED HARMONIC OSCILLATORS
COUPLED HARMONIC OSCILLATORS
Physics

7 min read


Jul 21, 2021

‘Refraction’

Hello! In today’s article, we’ll be looking at the concept of refraction from an interesting perspective. As we all know, refraction is the change in the direction of travel of a wave when it moves from one medium to another. …

5 min read

‘Refraction’
‘Refraction’

5 min read


Jul 16, 2021

Area of circle using limits

Hi! Today’s article is a little short, but interesting nevertheless! We’re gonna apply L’Hôpital’s rule to find the area of a circle. Let’s begin. The first thing to realize is that a circle can be approximated as a regular polygon with an infinite number of sides. Here’s what I mean.

3 min read

Area of circle using limits
Area of circle using limits

3 min read


Jul 3, 2021

The equation for a rotated ellipse

So, I recently found an interesting way to find the equation of a rotated ellipse. As we know, an ellipse is characterized by the equation

4 min read

The equation for a rotated ellipse
The equation for a rotated ellipse

4 min read


Jun 28, 2021

An analysis of stable points

Math and physics are two subjects so entangled with each other, that its hard to tell which topic relates to one subject or the other. Take today’s topic-stable points. Of course, this applies to math, where stable points can be defined as points on a function where the slope is…

4 min read

An analysis of stable points
An analysis of stable points

4 min read


Apr 16, 2021

The Beauty of Mathematical Physics

I love physics. Why? Two reasons-one, it allows us to know more about the universe, right from here, our very own planet. All you need is a paper and pen, and you can discover the most fundamental truths about reality! (okay maybe just theoretical physics) But the second reason (and…

4 min read

The Beauty of Mathematical Physics
The Beauty of Mathematical Physics

4 min read


Jan 7, 2021

Mechanics part 4: Galilean Relativity

Welcome back fellow carbon-based life forms! Last time, we talked about momentum and its conservation. As we saw, it allows us to analyze the interactions between particles just by knowing their initial momentum! Basically, if there are no external forces on a system, its momentum is always conserved. Always. Today…

5 min read

MMechanics part 4: Galilean Relativity
MMechanics part 4: Galilean Relativity

5 min read


Jan 6, 2021

Mechanics part 3: Momentum

Hey! Welcome back! Last time we talked about Newton’s laws and forces. That’s dynamics, and as we saw, it becomes really easy to find the acceleration of a body using a free body diagram and applying Newton’s laws. But there is one thing I didn’t talk about, and its no…

4 min read

Mechanics part 3: Momentum
Mechanics part 3: Momentum

4 min read

Rohan Joshi

Rohan Joshi

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