Planar wave solution to zero potential Schrödinger equation

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Homework Help Overview

This discussion revolves around the planar wave solution to the zero potential Schrödinger equation, focusing on the mathematical representation of free particles in quantum mechanics.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the implications of the wave function form ##\psi(x, t) = e^{i(kx - \omega t)}## and its derivatives. There are discussions about simplifying terms, the nature of the wave function, and the relationship between wavenumber and frequency. Some participants question the treatment of complex coefficients and the necessity of including both positive and negative exponentials in the wave function.

Discussion Status

The conversation is active, with various interpretations and approaches being discussed. Some participants have provided guidance on the mathematical treatment of the wave function, while others are exploring the implications of their findings. There is no explicit consensus yet, as different perspectives on the wave function's form and its components are being examined.

Contextual Notes

Participants are navigating the complexities of quantum mechanics, particularly in relation to the Schrödinger equation and the properties of wave functions. There are references to homework constraints and specific exercise requirements that influence the discussion.

  • #61
BvU said:
I don't think it has a "1. Historical introduction
Yup. First chapter is " The wave function" .
 
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  • #62
Ehm, could you just give a fully valid citation, which is in a format like

S. Weinberg, Lectures on Quantum Mechanics, Cambridge University Press (2013)?
 
  • #63
I have uploaded the entire document for you
 

Attachments

  • #64
Thanks. Well, perhaps you can score some brownie points for yourself by bringing this up carefully ?
Like: "could there be a small glitch in part b" ? I think the ##\Psi_s ## and ##\Psi_c## don't satisfy the SE ?
 

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