Identical Particles - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

312

Pages:

5
Author:

Jabin F.

_dentica particles:- The particles are said to be identical it they can not be distinguished by mean of any intoinsic property. like, mass, charge, spin eet ete. Identical Particles Classical particle › Generally distinguishable → spinless ex' (Gas molecules) Quantum Identical generally indistinguish Identical Boson Identical particles with zero or integer spin (0,1,2,3~~~) ex: photons, phonon....(....) Identical Fermion Identical particles with 1/2 odd integer spin (-1/2, 1/2, 3/2, 5/2, .....) ex: e-, p, n, ---- Boson:- A particle with spindor integer spin. Fermion:- A particle with ½ odd integer spin. ⇒ 2e- system⇒ β1 = ½ , β2 = ½ β = |S1 - S2| ... |S1 + S2| = 0, 1 ⇒ Bosonic nature. Image Analysis Textual Content: system:- S1 = 1/2, S2 = 1/2, S3 = 1/2 S' = 0,1 S = |S1-S3| - |S1+S3| = 1/2 1/2 1/2 → Fermion nature ⇒ Consider a system consisting of 2 Bosons → ⇒ S1 = 1, S2 = 2 S = |S1-S2| - |S1+S2|, with Diff of 1 Unity. = 0 2. S = 0,1,2 ⇒ Boson ⇒ 3. Boson:- S1= S2= S3= 1 S'= |S1- S2| ---- |S1+S2| S'= 0, 1,2 S'=[1s'-S3]-[1s'+S3]= 1,0,1,2,1,2,3 ⇒ Boson ⇒ The system Consisting of Boson is Bosonic ⇒ The system Consisting of fermion⇒Sfermionis, it no. of Consistingts = odd Boson's if no of Consistants = even. for Atom for Nuclears No. of Consistants= No. of Constitants = Nn+Np Ne-+ Np +Nn →IF Hamiltonian of the system remains unchanged Under the exchange of Parhcles in pair, then particles are said to be identical: Ψ(r) = 1/√6 * Φ₂₀₀(r) + √2/3 * Φ₂₁₁(r) - 1/√6 * Φ₂₁₀(r) Σn |Cn|² = 1/6 + 1/3 + 1/6 = 1 En = -13.6 / n² eV = 1/6 * (-13.6) + 2/3 * (-13.6) + 1/6 * (-13.6) = -5.1 eV (option - 4) Ψ(m,y,z) = N e^(-αr²) r cosθ cosθ → d = 1, m = 0 → Here ψ not dependency of e^(iϕ) L² → l(l+1)ħ² = αħ² Lz → mħ = 0 (option - c)

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