<?xml version="1.0" encoding="UTF-8"?><rss version="2.0"><channel><title>Ganlin&apos;s field notes</title><description>Physics, mathematical methods, and AI for Science study notes.</description><link>https://www.rachellinxg-personal-blog.top/</link><item><title>精细结构、磁矩与电子自旋</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-fine-structure-spin.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-fine-structure-spin.html</guid><description>从载流线圈的磁矩出发，经 Larmor 进动与 Stern–Gerlach 实验，走向自旋和总角动量耦合。</description><pubDate>Wed, 13 May 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>自旋</category><category>精细结构</category></item><item><title>势阱、隧穿与力学量算符</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-physics-applications-operators.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-physics-applications-operators.html</guid><description>无限深势阱、有限深势阱、谐振子，以及位置与动量算符的本征值图像。</description><pubDate>Mon, 20 Apr 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>算符</category><category>量子力学</category></item><item><title>玻尔模型与量子力学导论</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-physics-ch2.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-physics-ch2.html</guid><description>原子光谱、Bohr 量子化条件、Franck–Hertz 实验与旧量子论的边界。</description><pubDate>Thu, 26 Mar 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>玻尔模型</category></item><item><title>不确定关系与波函数统计解释</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-physics-ch3.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-physics-ch3.html</guid><description>从 de Broglie 波到概率解释，梳理位置—动量不确定关系的来源与边界。</description><pubDate>Sat, 28 Mar 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>不确定关系</category></item><item><title>核力：六条性质与汤川图像</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-physics-nuclear-force.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-physics-nuclear-force.html</guid><description>短程性、饱和性、斥力芯、自旋相关性，以及有质量交换粒子如何对应短程相互作用。</description><pubDate>Mon, 20 Apr 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>核物理</category></item><item><title>波函数叠加与薛定谔方程</title><link>https://www.rachellinxg-personal-blog.top/posts/atomic-physics-wavefunction-superposition.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/atomic-physics-wavefunction-superposition.html</guid><description>态叠加、概率幅、双缝干涉与定态薛定谔方程的物理意义。</description><pubDate>Mon, 20 Apr 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>量子力学</category></item><item><title>电路的分析方法</title><link>https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch2.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch2.html</guid><description>支路电流、节点电压、叠加、戴维南与诺顿定理。</description><pubDate>Thu, 26 Mar 2026 00:00:00 GMT</pubDate><category>电工学</category><category>电路分析</category></item><item><title>电路的暂态分析</title><link>https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch3.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch3.html</guid><description>换路定理、一阶电路的零输入与零状态响应、三要素法。</description><pubDate>Thu, 26 Mar 2026 00:00:00 GMT</pubDate><category>电工学</category><category>暂态分析</category></item><item><title>正弦交流电路</title><link>https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch4.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch4.html</guid><description>相量、RLC 串并联、交流功率、谐振频率与带宽。</description><pubDate>Thu, 26 Mar 2026 00:00:00 GMT</pubDate><category>电工学</category><category>交流电路</category></item><item><title>正弦交流电路：知识点与解题法</title><link>https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch4-ac.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/electrical-engineering-ch4-ac.html</guid><description>相量表示、阻抗与导纳、复功率及功率因数的系统化解题框架。</description><pubDate>Sat, 28 Mar 2026 00:00:00 GMT</pubDate><category>电工学</category><category>正弦交流</category></item><item><title>泡利不相容原理与交换对称性</title><link>https://www.rachellinxg-personal-blog.top/posts/pauli-principle.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/pauli-principle.html</guid><description>连接电子组态、LS / jj 耦合、单态与三重态，理解为什么一部分“形式允许”的原子态实际不存在。</description><pubDate>Wed, 27 May 2026 00:00:00 GMT</pubDate><category>原子物理</category><category>泡利原理</category><category>多电子原子</category></item><item><title>冲量定理法与 Duhamel 原理</title><link>https://www.rachellinxg-personal-blog.top/posts/pde-impulse-method.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/pde-impulse-method.html</guid><description>把持续外源拆成无穷多个瞬时冲量，构造非齐次演化方程的解。</description><pubDate>Sat, 28 Mar 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>冲量定理</category><category>杜阿梅尔</category></item><item><title>非齐次方程与 Fourier 法</title><link>https://www.rachellinxg-personal-blog.top/posts/pde-nonhomogeneous.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/pde-nonhomogeneous.html</guid><description>用叠加原理和本征函数展开处理有源波动、热传导方程。</description><pubDate>Sat, 28 Mar 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>非齐次方程</category><category>Fourier</category></item><item><title>非齐次边界条件与 Poisson 方程</title><link>https://www.rachellinxg-personal-blog.top/posts/pde-nonhomogeneous-boundary.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/pde-nonhomogeneous-boundary.html</guid><description>边界齐次化、叠加分解与二维 Poisson 方程的分离变量路线。</description><pubDate>Sat, 28 Mar 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>非齐次边界</category><category>泊松方程</category></item><item><title>特殊函数常微分方程</title><link>https://www.rachellinxg-personal-blog.top/posts/pde-special-functions-odes.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/pde-special-functions-odes.html</guid><description>球坐标与柱坐标下的分离变量，勒让德、贝塞尔函数和边界本征值。</description><pubDate>Mon, 20 Apr 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>特殊函数</category><category>勒让德</category><category>贝塞尔</category></item><item><title>Sturm–Liouville 本征值问题</title><link>https://www.rachellinxg-personal-blog.top/posts/sturm-liouville.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/sturm-liouville.html</guid><description>从固定弦的驻波出发，理解自伴随算子、边界条件、带权正交与广义 Fourier 级数的统一结构。</description><pubDate>Tue, 19 May 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>本征值</category><category>Sturm Liouville</category></item><item><title>达朗贝尔公式与分离变量</title><link>https://www.rachellinxg-personal-blog.top/posts/wave-equation-dalembert-separation.html</link><guid isPermaLink="true">https://www.rachellinxg-personal-blog.top/posts/wave-equation-dalembert-separation.html</guid><description>从行波图像到驻波模态，比较一维波动方程的两条经典求解路线。</description><pubDate>Thu, 26 Mar 2026 00:00:00 GMT</pubDate><category>数学物理</category><category>波动方程</category><category>达朗贝尔</category></item></channel></rss>