Obtain solution of the free particle problem in two dimensions using Hamilton Jacobi equation and obtain expression for the Hamilton's principal function.
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This section has problems on canonical quantization and uncertainty relation.
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Three equal charges are placed at the corners of an equilateral triangle.Show that the electric field at the center is zero.
This section hs problems on Hamiltonian formulation ofclassical mechanics.
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Once the canonical partition function is known all properties of a system can be derived. Find the equation of state and the heat capacity of systems for which the partition funcion is
(a) \(Z=V^N(2\pi/\beta M)^{5N/2}\);
(b) \(Z= (V-Nb)^N (2\pi/\beta M)^{3N/2} e^{\beta N^2/V} \qquad a,b \text{ are constants}\).Identify the systems.
Atlee Jackson*
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