Perturbation theory Memes

The physicist is having an existential crisis! Perturbation theory is a mathematical method that relies on small changes (perturbations) to solve complex problems. When these perturbations are small, physicists can approximate solutions beautifully. But suggest those perturbations might NOT be small? Pure mathematical chaos ensues! It's like telling a baker their measuring cups might suddenly be random sizes - their entire recipe framework collapses! The physicist's angry face in the final panel perfectly captures that moment when someone threatens the very foundation of their calculation methods. The entire universe becomes unsolvable!

The eternal battle of theoretical physics in one image! Time-independent perturbation theory is the hot date you bring home to your parents—simple, well-behaved, and solvable before dinner. Meanwhile, time-dependent perturbation theory lurks in the shadows like that homework problem that made you question your life choices. For the uninitiated: perturbation theory is how physicists solve problems they can't actually solve. Time-independent versions let you calculate stuff without worrying about that pesky fourth dimension. Add time dependence? Suddenly you're drowning in partial differential equations while questioning why you didn't just become an accountant. The face transformation is every grad student halfway through their quantum mechanics final. Pure emotional damage.

Finding a Hermitian operator that commutes with the Hamiltonian is like striking quantum gold—it gives you those sweet, sweet conserved quantities. But the moment you're dealing with degenerate states, you start eyeing that operator like it's your ex who just texted "we need to talk." Suddenly, perturbation theory looks mighty attractive. For the uninitiated: Hermitian operators represent physical observables in quantum mechanics. When one commutes with the Hamiltonian (H), it means you can measure both properties simultaneously—a rare luxury in the quantum world. Degenerate states, however, are quantum mechanics' way of saying "it's complicated."

Why create a new theory when you can just patch the old one? Quantum physicists don't want elegant solutions—they want mathematical chaos! Instead of developing a clean, complete theory of quantum particles (boring!), they'd rather slap on another 15 terms to the Standard Model Lagrangian and call it a day. It's like fixing your car with duct tape when it needs a new engine. "Is your theory breaking down at high energies? Just add more variables and perturbation terms until the math works!" The academic equivalent of solving problems by making them more complicated. Pure genius or pure madness? You decide!