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Quantum Mechanics
Introductory Quantum Mechanics
Question | Answer | Comment |
---|---|---|
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. |