تقرير
Some solutions to the eigenstate equation of the free scalar quantum field theory in the Schr\'odinger representation
| العنوان: | Some solutions to the eigenstate equation of the free scalar quantum field theory in the Schr\'odinger representation |
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| المؤلفون: | Bolokhov, T. A. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory |
| الوصف: | We study the action of the free quantum Hamiltonian in the Schr\"odinger representation on functional spaces generated by Gaussian states with boundary conditions set by localized external sources. It turns out that inspite of very general initial assumptions the proposed scheme requires at least two sources at a distance limited by non-zero constant of the model. In this way we provide example of quntum field evolved by the action of the free Hamiltonian confining external sources which set boundary conditions. Comment: 2nd version: added Coulomb gauge case, rewrite of Conclusion; 22 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.03049 |
| رقم الأكسشن: | edsarx.2403.03049 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |