GATE PH 2022 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

In a two-dimensional square lattice, frequency

of phonons in the long wavelength limit changes linearly with the wave vector

. Then the density of states of phonons is proportional to

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K, which of the following diagram represents the occupation probability

of energy states of electrons in a BCS type superconductor?

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For a one-dimensional harmonic oscillator, the creation operator (

) acting on the

state

, where

, gives

. The matrix representation of the position operator

for the first three rows and columns is

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2022 · Paper 1