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- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/07%3A_Quantum_Mechanics/7.07%3A_Quantum_Tunneling_of_Particles_through_Potential_BarriersA quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not h...A quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not have a classical analog. The tunneling probability is a ratio of squared amplitudes of the wave past the barrier to the incident wave.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/04%3A_Quantum_Mechanics/4.07%3A_Quantum_Tunneling_of_Particles_through_Potential_BarriersA quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not h...A quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not have a classical analog. The tunneling probability is a ratio of squared amplitudes of the wave past the barrier to the incident wave.
- https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_2/06%3A_Quantum_Mechanics/6.07%3A_Quantum_Tunneling_of_Particles_through_Potential_BarriersA quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not h...A quantum particle that is incident on a potential barrier of a finite width and height may cross the barrier and appear on its other side. This phenomenon is called ‘quantum tunneling.’ It does not have a classical analog. The tunneling probability is a ratio of squared amplitudes of the wave past the barrier to the incident wave.
- https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Quantum_Mechanics_(Fowler)/03%3A_Mostly_1-D_Quantum_Mechanics/3.03%3A_Energy-Time_Uncertainty_PrincipleThe momentum-position uncertainty principle Δp⋅Δx≥ℏ has an energy-time analog, ΔE⋅Δt≥ℏ. Evidently, though, this must be a different kind of relationship to the momentum-position one, because t is no...The momentum-position uncertainty principle Δp⋅Δx≥ℏ has an energy-time analog, ΔE⋅Δt≥ℏ. Evidently, though, this must be a different kind of relationship to the momentum-position one, because t is not a dynamical variable, so this can’t have anything to do with non-commutation. To illustrate the meaning of the equation Δ E⋅Δ t≥ℏ, let us reconsider α-decay,
