Legendre Transformation of Lagrangian which is sum of Kinetic energy and Potential EnergyEnergy is not simply a number but is expanded to an operator called a HamiltonianHamiltonian’sEigenfunction is Standing wave, Eigenvalue is Energy eigenvalue Hamiltonian (quantum mechanics)In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from a measurement of the system's total energy. Due to its close relation to the energy spectrum and time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)믿기 힘든 양자 Incredible Quantum [4]: 게이지 대칭성It’s not possible. (CASE) No, it’s necessary. (Cooper) - From the movie <Interstellar>(2014) - 필자가 박사 학위를 받기 위해서 미국으로 유학을 나가게 된 데에는 꽤 흥미진진한 계기가 있다. 조금 길게 설명해야 하는데, 필자가 생각하기에 이번 글에서 얘기하고 싶은 주제와 묘하게 깊은 연관성이 있으므로 인내심을 가지고 끝까지 읽어 주기를 부탁한다. 때는 1995년 2월이었다. 이때 필자는…https://horizon.kias.re.kr/6469/