Gitofa Shah PHYSICS   -   Quantum Mechanics

Which of the following statements about the Heisenberg Uncertainty Principle is correct?

The Heisenberg Uncertainty Principle specifically quantifies the limits of measurement precision. It states that the product of the uncertainties in position (Δ𝑥) and momentum (Δ𝑝) of a particle is always greater than or equal to ℏ/2, where ℏ is the reduced Planck constant. Mathematically, Δ𝑥 ⋅ Δ𝑝 ≥ ℏ / 2. This principle does not state that position and momentum cannot be measured simultaneously, but rather that there is a fundamental limit to the precision with which they can be known simultaneously.
In the context of quantum mechanics, what does the term "wavefunction collapse" refer to? A beam of particles passes through a Stern-Gerlach apparatus with a magnetic field gradient oriented in the z-direction. What is the effect on the beam? What is the name of the process by which a particle and its antiparticle annihilate into photons? Which of the following statements about the Heisenberg Uncertainty Principle is correct? What is the physical significance of the commutator of the position and momentum operators in Quantum Mechanics? What is the purpose of the wave function renormalization in Quantum Field Theory? A particle is in a superposition of two energy eigenstates, |ψ= a|E1+ b|E2. What is the probability of finding the particle in the energy eigenstate |E1?