Archive of posts with tag “quantum mechanics”

• Jul 1, 2024

  The smallest wave packet in the lowest Landau level

  The smallest wave packet in the lowest Landau level exists, and is a Gaussian wave packet. This turns out to be related to the coherent state of the harmonic oscillator.

  • Categories: physics
  • Tags: quantum mechanics, condensed matter physics
• Oct 18, 2023

  You can replace $\mathrm i$ with $-\mathrm i$ in the Schrödinger equation?

  When someone asks you why it is $-\mathrm i$ here instead of $\mathrm i$ or the other way around, you can say that this is just a convention. My professor of quantum mechanics once asked the class similar a question, and I replied with this letter.

  • Categories: physics
  • Tags: quantum mechanics, letter, complex
• Feb 3, 2023

  Introducing bra–ket notation to math learners

  Bra–ket notation is a good-looking notation! I am sad that it is not generally taught in math courses. Let me introduce it to you.

  • Categories: math
  • Tags: from zhihu, quantum mechanics
• Feb 2, 2023

  Even solutions to bound states in an odd number of $\delta$ potential wells

  We try solving the even function solutions to the time-independent Schrödinger equation for the potential $V=-\alpha\sum_{j=-n}^n\delta(x-ja)$ such that $E<0$ (bound states).

  • Categories: physics
  • Tags: from zhihu, quantum mechanics