Subtopic: Crystal Lattices, Band Theory & Superconductivity
Question Statement:
Group I contains elementary excitations in solids. Group II gives the associated fields with these
excitations. MATCH the excitations with their associated field and select your answer as per codes
given below.
Group I Group II
(P) phonon (i) photon + lattice vibration
(Q) plasmon (ii) electron + elastic deformation
(R) polaron (iii) collective electron oscillations
(S) polariton (iv) elastic wave
Codes
Options:
(A) (P-iv), (Q-iii), (R-i), (S-ii)
(B) (P-iv), (Q-iii), (R-ii), (S-i)
(C) (P-i), (Q-iii), (R-ii), (S-iv)
(D) (P-iii), (Q-iv), (R-ii), (S-i)
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.22)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Solid State Physics** within *Section 7: Solid State Physics* (1 Mark, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Solid State Physics:
- Applying canonical quantum/electrodynamic equations:
$\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$
- Substituting boundary parameters and simplifying algebraically.
- The resulting expression uniquely corresponds to Option **(B)**.
**3. Final Answer**:
Correct Option is **(B)**.
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