List of top Physics Questions on Mathematical Physics asked in GATE PH

Which of the following operators is/are self-adjoint?

The function \(f(z)\) of the complex variable \(z\) given below,\[ f(z) = \dfrac{z^{2} - 5z + 4}{z^{3} + 4z - z^{2} - 4} \]has singular points at \(z =\)

Sketch of a two-dimensional vector field \(\vec{V}\) is shown below. Here, length and arrow head of the arrows denote magnitude and direction of the vector field, respectively.

Which of the following statements is correct for \( \nabla \times \vec{V} \)?

For a scalar field \(\psi(\vec{r})\) and a vector field \(\vec{A}(\vec{r})\), \(\nabla\times(\vec{A}\,\psi)\) is equivalent to the expression