SUMMARY
The ground state energy in a potential well is not zero due to the principles of quantum mechanics, specifically the definition of energy states governed by the principal quantum number (n). The energy formula is given by En = -me4 / (2h2n2), where n starts at 1, not 0, to prevent infinite energy, which corresponds to an electron being separated from the atom. The presence of Coulomb potential ensures that energy levels are always negative, indicating that energy is never zero in an atom.
PREREQUISITES
- Understanding of quantum mechanics principles
- Familiarity with the concept of quantum numbers
- Knowledge of Coulomb potential in atomic physics
- Basic grasp of energy state equations
NEXT STEPS
- Study the derivation of the energy levels in quantum mechanics
- Explore the implications of the Coulomb potential on atomic structure
- Learn about the significance of quantum numbers in determining electron configurations
- Investigate the concept of zero-point energy in quantum systems
USEFUL FOR
Students and professionals in physics, particularly those focusing on quantum mechanics, atomic physics, and anyone seeking to understand energy levels in potential wells.