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Quantum Mechanics

Introductory Quantum Mechanics

What is the defining condition for an Hermitian Operator? ⟨ Ť f ⎮ g ⟩ = ⟨ f ⎮Ť g ⟩ , where Ť is the Hermitian operator
A basis is a .. ..set of linearly independent vectors that span the space. And used with the "ket" "bra" notation in QM
A bound state has energy, E < .. ..( V(-∞) and V(∞) ) Like a sphere rolling back and forth in a half loop, with too little energy to escape.
Degenerate states is when two particles.. ..occupy the same energy state. For free particle in 1D - one can go left, one right - but with the same energy
Can degenerate solutions be normalizable? No
Is it possible to create a state such that every measurement is an observable? Yes Determinate states
A scattering state is when the energy, E is greater than... ..the potentials at + or - ∞. E >( V(-∞) or V(∞) ) A car that comes in from infinity, crosses a hill (potential barrier) and continues to infinity.
Tunnelling is when a particle can pass through a potential barrier, without.. .."having enough energy".
Linearly independent eigenfunctions that share the same eigenvalue are called.. ...degenerate.
Created by: tobias_ottsen