The discussion centers on the relationship between minimum energy and energy uncertainty, specifically referencing the inequality ΔE≥½hf. Participants clarify that the minimum energy of a quantum state, denoted as E0, is equal to ½hf, which is derived from the principle that the energy of any state must be greater than or equal to this value. The confusion arises from interpreting the inequality as a direct equivalence rather than a boundary condition for energy states.
PREREQUISITESStudents of quantum mechanics, physicists, and educators seeking to clarify concepts related to energy states and uncertainty in quantum systems.
It's not.asdf said:Could someone explain why the minimum energy is equal to the energy uncertainty?
It's just saying that, since the energy of any state whatever must be greater than or equal to ##hf / 2##, the energy of the lowest energy state, the ground state energy ##E_0##, is equal to ##hf / 2##.asdf said:I don't get the step at 14:50 where he says that ΔE≥½hf means that E0=½hf.
That's not what the above is saying.asdf said:Could someone explain why the minimum energy is equal to the energy uncertainty?