Simple Physics

Last time we saw how Miss p̂ identified her son p₁ and we tried to understand the equation,  p̂ |Ψ⟩=p₁|Ψ₁⟩ . If you haven't already read the lovely story of Miss p̂ , she would love it if you do. Here it is .  Now we will see how she finds her child when there are more than one class sections in that school, and try to explain the equation, p̂ |Ψ⟩= p₁ |Ψ₁⟩ + p₂ |Ψ₂⟩ + p₃ |Ψ₃⟩ + p₄ |Ψ₄⟩ + p₅|Ψ₅⟩ Last time, the school had just one class section, |Ψ₁⟩ . So things were simple and easy. Now, things have changed. The school has five sections of class Ψ , that is |Ψ₁⟩,   |Ψ₂⟩, |Ψ₃⟩, |Ψ₄⟩, |Ψ₅⟩ . Also, last time, Miss p̂ was a human. Now she is not a human but a machine, a juicer machine which specifically makes pineapple juice. Things to remember: 1. Miss p̂ is mother. She is a juicer machine, specifically a pineapple juicer. 2. Headmistress |Ψ⟩ is a headmistress of Ramanujan Public School. 3. The juicer machine  Miss p̂  has a son- he is a juice, pineapple juice....

Now we are wondering about our equation p̂ |Ψ⟩=p₁|Ψ₁⟩ Let's imagine |Ψ⟩ is the headmistress of Ramanujan public school. Now what about the symbols like | and ⟩? Well, they are the symbols of her authority as a headmistress. One is her large bun and the other is a large stick. One day, a parent named Ms. p̂ approaches the headmistress |Ψ⟩. Now why does p has a hat on her head. Let's say that is so since p "goes with an appeal to |Ψ⟩". So whoever has a request gets a hat on head 😉. What does she say to the headmistress? She says, "dear headmistress, since today is the last working day, we have planned a trip to Veegaland and will be leaving this evening. And so I want to pick my son." The school has hundreds of children and the headmistress |Ψ⟩ wouldn't know who is the child of Ms. p̂. So she asks, "what is his name?" Ms. p̂ tells her, his name is p₁. A clerk then goes to the class and picks a boy named p₁, the son of Ms. p̂. And this is how Ms....

So yesterday my author told me how you change the shape of your model to fit your system and simplify your problem. Well this looks complex, I know (and it is, believe me). But maybe our police-thief story can simplify it.  (This is a story of how we make measurements using polar coordinates instead of Cartesian ones for certain systems.) The thread goes like this. You have a thief called Bob who is swinging in a single plane. Behind him are two policemen, Axe and Yay . The problem is, these two policemen go only two ways, forward and upward. Given their restriction, they have to work together to catch this guy. That means to catch one thief, we need two policemen, so if there are a 100 thieves, we need 200 policemen. Worried due to the inefficiency of the police of the society, the lawmaker appoints a committee. Their job is to find how to increase the efficiency of policemen. The committee studies the case and submits a report to the lawmaker. He analyses it and fin...

So yesterday my author discussed about two very important systems of classical mechanics. Actually this guy seems to be obsessed with these two systems. What he was talking about? A harmonic oscillator and a pendulum. An HO is different from a pendulum. That's because gravity plays no role in one but a major role in the other. Why is that so? Take out the spring from your pen and place it on the table. Hold it from behind so that it stays in position. Now push it inward. No need to hold on. Just release. What do you see? Did the spring bounce back? Ah yes, but does it bounce back to its original position? No. It moved beyond its position, right? And then we observe this to and fro motion. Well that won't last long since we have too many retarding forces in the real world. But that's not what we are worried about now. What is the role of gravity here? Did gravity play a role in bringing the spring back to its original position? No, it didn't. But that's n...