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LaTeX Mathematics square and exponents formula practice

Node id: 3863page
 shivahcu's picture 20-12-04 21:12:50 n

[QUE/ME-08004] ME-PROBLEM

Node id: 3957page

A 400-ton train runs south at a speed of \(u\) at a latitude of \(\lambda\) north. Find the expressions of

  • the horizontal force on the tracks?
  • the direction of the force?

Compute the numerical values of the forces assuming \(u=100 \text{km/h}, \lambda=60^o\)

 shivahcu's picture 22-02-08 19:02:54 n

[QUE/QFT-04010] QFT-PROBLEM

Node id: 4023page

Use the expansion of Schrodinger field \(\psi(x,t)\) in terms of plane waves \[\psi(\mathbf x,t) =\frac{1}{(2\pi)^{3/2}} \int d\mathbf k \exp(i\mathbf k.\mathbf x) a(\mathbf k,t)\] and the canonical commutation relations to prove that \[ [a(\mathbf k), a^\dagger(\mathbf k{'})] = \delta(\mathbf k-\mathbf k{'}).\]

 shivahcu's picture 22-02-05 09:02:18 n

[QUE/CM-02004]

Node id: 4407page
 shivahcu's picture 22-03-19 11:03:30 n

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