pub fn minimum_position_uncertainty(momentum_uncertainty: f64) -> Option<f64>Expand description
Computes the minimum position uncertainty estimate from delta x >= hbar / (2 * delta p).
Returns None when momentum_uncertainty is not positive and finite, or when the computed
result is not finite.
ยงExamples
use use_quantum::{REDUCED_PLANCK_CONSTANT, minimum_position_uncertainty};
let position_uncertainty =
minimum_position_uncertainty(REDUCED_PLANCK_CONSTANT).ok_or("expected valid input")?;
assert!((position_uncertainty - 0.5).abs() < 1.0e-12);Examples found in repository?
examples/basic_usage.rs (line 31)
11fn main() -> Result<(), &'static str> {
12 let photon = Photon::from_wavelength(500.0e-9).ok_or("expected valid photon wavelength")?;
13 let matter_wave =
14 MatterWave::from_mass_velocity(2.0, 3.0).ok_or("expected valid matter wave")?;
15 let quantum_numbers =
16 QuantumNumbers::new(2, 1, 0, 1).ok_or("expected valid quantum numbers")?;
17
18 assert!(photon.energy_ev().ok_or("expected photon energy in eV")? > 0.0);
19 assert!(
20 matter_wave
21 .wavelength()
22 .ok_or("expected matter wavelength")?
23 > 0.0
24 );
25 assert!(approx_eq(quantum_numbers.spin_projection(), 0.5));
26 assert!(approx_eq(
27 hydrogen_energy_level_ev(1).ok_or("expected hydrogen energy level")?,
28 -RYDBERG_ENERGY_EV,
29 ));
30 assert!(approx_eq(
31 minimum_position_uncertainty(REDUCED_PLANCK_CONSTANT)
32 .ok_or("expected minimum uncertainty")?,
33 0.5,
34 ));
35
36 Ok(())
37}