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This problem is related to the particle in a box or in an infinite potential well. Particle representation by a wave function that is mathematical function no physical significance of…
Newton’s Laws of Motion
The Pauli's Exclusion Principle is explained with examples, Anti symmetric wave function for identical particles/Graduate Quantum Physics Online
Exchange Forces & The Helium Atom|Quantum Mechanics Graduate Physics How to write anti symmetric eigen function for a quantum system, example of helium atom.