{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Particle in a Box", "refinement": "This problem involves calculating the energy levels of a quantum particle confined in a one-dimensional potential well, specifically using the principles of quantum mechanics.", "specific_scope": "The focus is on determining the minimum energy (ground state energy) of an electron confined in a one-dimensional box of a specified length (L = 0.2 nm).", "goal": "Calculate the minimum energy of the electron using the formula for the energy levels of a particle in a box."}, "summary": "This problem pertains to quantum mechanics, specifically the concept of a particle in a one-dimensional box. The task is to calculate the minimum energy of an electron confined in a box of length 0.2 nm. The solution involves applying the formula for the energy levels of a quantum particle, which leads to the determination of the ground state energy. The correct answer is 1.5 x 10^(-18) J, representing the minimum energy of the electron in this confined state."}