Slide 1
... which has the consequence that no two fermions can occupy the same quantum mechanical state (Pauli exclusion principle). Mathematics aside, the important result is that atoms are made up of fermions and the Pauli exclusion principle prevents them from collapsing in on themselves. A second group of ...
... which has the consequence that no two fermions can occupy the same quantum mechanical state (Pauli exclusion principle). Mathematics aside, the important result is that atoms are made up of fermions and the Pauli exclusion principle prevents them from collapsing in on themselves. A second group of ...
Identical Particles - Theory of Condensed Matter
... the interval x1 to x1 + dx1 and another between x2 to x2 + dx2 , only makes sense if |ψ(x1 , x2 )|2 = |ψ(x2 , x1 )|2 , since we can’t know which of the two indistinguishable particles we are finding where. It follows from this that the wavefunction can exhibit two (and, generically, only two) possib ...
... the interval x1 to x1 + dx1 and another between x2 to x2 + dx2 , only makes sense if |ψ(x1 , x2 )|2 = |ψ(x2 , x1 )|2 , since we can’t know which of the two indistinguishable particles we are finding where. It follows from this that the wavefunction can exhibit two (and, generically, only two) possib ...
Document
... Why should I care about particles? • The discoveries of particle physics are unlikely to impact our lives in the near future, so why should we bother? ...
... Why should I care about particles? • The discoveries of particle physics are unlikely to impact our lives in the near future, so why should we bother? ...
Statistical description of systems of particles
... Statistical ensemble The evolution of a system in a microscopic state is completely deterministic both in quantum and classical mechanics. However, such information cannot be made available for a system with a large number of degrees of freedom. We consider a large number of identical systems (ense ...
... Statistical ensemble The evolution of a system in a microscopic state is completely deterministic both in quantum and classical mechanics. However, such information cannot be made available for a system with a large number of degrees of freedom. We consider a large number of identical systems (ense ...
May 2006
... Consider two particles of mass m moving in one dimension. Particle 1 moves freely, while particle 2 experiences a harmonic potential V (x2 ) = 21 mω 2 x22 . The two particles interact via a delta function potential Vint (x12 ) = λδ(x12 ), with x12 ≡ x1 − x2 . Particle 2 starts in the ground state |ψ ...
... Consider two particles of mass m moving in one dimension. Particle 1 moves freely, while particle 2 experiences a harmonic potential V (x2 ) = 21 mω 2 x22 . The two particles interact via a delta function potential Vint (x12 ) = λδ(x12 ), with x12 ≡ x1 − x2 . Particle 2 starts in the ground state |ψ ...
