#2 | ψ(x,0) is real or imaginary! | Quantum Mechanics Problem | Thursday Physics Problem

Hey Avidians, sorry to post this on Friday, but this problem is related to Quantum Mechanics, so if you are a fan of microscopic nature and physics behind them, then you will be familiar with Schrondinger Wave Equation.

Let’s have a look at the equation,

{\displaystyle i{\frac {d\psi }{dt}}={\hat {\mathcal {H}}}\psi ,}

H is Hamiltonian Operator, if you are very familiar with Hermicity you can absolutely grab the idea behind this equation, Hψ = Eψ, you can make this equation more expandable, but this is not our purpose in this blog.

So Question is you have a plain wave at t = 0 , that’s why ψ(x,0), so this is our wave function, so the problem is that is ψ(x,0) is real or imaginary.

See this will require you to have a good education of waves, probability, superposition and complex number.

You have to put some advance grad mathematics then you can prove how this is real or imaginary, so mathematics of this question depends on you, either you derive this wave function with fourier transformation or your invented mathematics.

You should use independent time equation of Schrondinger Equation, because time is actually 0. You can also take ψ(x,0) as absolute value, indeed you have to.

Let’s look at the quiz rules and submission process.List

  • You have to submit your answer before Wednesday, because on Thursday another problem will launch.
  • You can submit your answer in the comments of this blog or avidianspace@gmail.com
  • Submit your answer in one word, just real or imaginary, but you should clip up you mathematics to my mail id mentioned above.
  • The correct answer and winner name will be featured in my next Thursday Quiz
  • You can’t do multiple answers submission

Well if you haven’t taken my previous quiz, then you can leave from here and work on the mathematics of above question, but you are curious i think, then you can stay to have the answer of #1 question.

You can see the question by Clicking here

Answer of #1

So basically you have been given a picture where you see rainbow on ground. But believe me it’s not rainbow.

So none of any answer was right, because even I have to do a lot of thinking to problem. So if you just given wrong answer don’t worry, it’s very critical problem.

Solution is a glass bowl. Yeah the picture taken when there was sandposting of a building. So refraction is the key physics concept to describe this. Well if you want to have a very clear answer then,

Go to Prof.Walter Lewin Video, By Clicking Here,

But let me say you some point here, angular radius of rainbow is 42° but if you calculate the angular radius of picture you will roughly go with 20-22°. So you have to have basic and good understanding of rainbow first then you can understand this problem.

I will encourage you to go on web and get some lectures on Rainbow, and if you get understanding then you find this problem easy.

Some sources to lecture

  • You can go to Prof.Walter Lewin 8.02 (Lecture 31) or 8.03 (Lecture 22)
  • Or Search Youtube and write Raibows Lectures

So none of any answer were right, so none of any is winner.


Okay so basically work on this problem #2 because if you are a theroatical course citer, it will important for you.

3 Replies to “#2 | ψ(x,0) is real or imaginary! | Quantum Mechanics Problem | Thursday Physics Problem”

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