Talk:Normalized solutions (nonlinear Schrödinger equation)

Good job!

I have just correct a few non-relevant grammar errors. Very interesting topic and good job! 77Davide77 (talk) 12:55, 12 July 2024 (UTC)

Many thanks! JohnWYu (talk) 12:59, 12 July 2024 (UTC)

Excellent job!

Thank you for your excellent work! I enjoy it so much! The page provides a comprehensive overview of the concept of normalized solutions within the context of nonlinear Schrödinger equations. It effectively explains the mathematical background, the importance of normalization in quantum mechanics, and the specific condition for normalization. Additionally, the page includes references to key research papers, offering a solid foundation for readers seeking a deeper understanding of this topic. The explanations are clear and well-structured, making it accessible to those with a background in mathematics or physics. AzzurroLan (talk) 12:59, 12 July 2024 (UTC)

Quite nice!

Comprehensive Overview: The article provides a detailed introduction to normalized solutions within the context of the nonlinear Schrödinger equation. This includes a clear explanation of the mathematical background and the significance of these solutions in various physical contexts, such as optics and quantum mechanics.

Mathematical Rigor: The content is mathematically rigorous, offering precise definitions and formulations. This includes the presentation of the equation itself, boundary conditions, and specific methods used to find normalized solutions. Such rigor is essential for readers with a strong mathematical background or those seeking to understand the topic in-depth.

Historical Context: The article includes historical insights, detailing the development of the nonlinear Schrödinger equation and its applications. This context helps readers appreciate the evolution of the field and the importance of normalized solutions within it. Daath3 (talk) 13:16, 12 July 2024 (UTC)

Interesting!

The article on normalized solutions of the nonlinear Schrödinger equation provides a comprehensive exploration of key issues in this domain. Through rigorous mathematical derivations and clear physical explanations, it effectively demonstrates the significance and potential of normalized solutions in both theoretical frameworks and practical applications. By accurately addressing nonlinear terms, the study offers profound insights into the evolution of waves in complex systems, inspiring significant advancements in the field.--BK-L023 (talk) 14:03, 12 July 2024 (UTC)

This article has significant issues

To @77Davide77 and @JohnWYu, as well as their classmates (?) @AzzurroLan, @Daath3 and @BK-L023 who it seems reviewed this srticle.

This article has major problems. There is an established article on NLSE which has been around since 2005. It is only vaguely mentioned in the lede, never again. Wikipedia is not a set of isolated articles, it is many interweaved ones. What is not clear, and needs to be is to what extent the constraints is different. Also there must be better connections added to both. How this is notable and worth its own page rather than being a subsection of NLSE must also be demonstrated. Ldm1954 (talk) 13:18, 15 July 2024 (UTC)

Thanks for the review. In fact, the normalized solution is not just in NLSE. It can be used for many problems in PDEs, such as the Dirac equation. So I don't think it's just as a subsection of NLSE. In recent years, hundreds of articles have been published on this subject, and Schrödinger's problem is probably the most dominantly studied one, so I'm bringing it up.

Do you have any suggestions for this change? Should I expand on Schrödinger's equation or just change the title to something like "normalized solution". JohnWYu (talk) 13:38, 15 July 2024 (UTC)

Your title limits it to NLSE. Adding the Dirac equation would digress, as would adding other PDE, you would need to change the title. A more general article on exploiting normalized solutions might work. However, you would need to do a fair bit of checking of what is already in other pages.

N.B., with a "real" quantum systems normalization is always required. Ldm1954 (talk) 13:52, 15 July 2024 (UTC)

Many thanks.I'll try to modify it. JohnWYu (talk) 14:34, 15 July 2024 (UTC)

Actually, what I wanted to show was the "normalized solution", but I wanted to describe it with a concrete example. That's why I added "NLSE" at the end. JohnWYu (talk) 13:48, 15 July 2024 (UTC)

I don't see a major step to improve the article to answer the issues I raised. Ldm1954 (talk) 20:55, 30 July 2024 (UTC)