Question no 6.1, statistical physics by Reif Volume 5 Problems 6.1 Phase space of a classical harmonic oscillator The en...
Problems 6.1 Phase space of a classical harmonic oscillator The energy of a one-dimensional harmonic oscillator, whose position coordinate is x and whose momentum is p, is given by where the first term on the right is its kinetic and the second term its potential energy. Here m denotes the mass of the osellating particle and a the spring constant of the restoring force acting on the particle. Consider an ensemble of such oscillators, the energy of each oscillator being known to lie between E and E + δΕ. Treating the situation classically, indicate in the two-dimensional xp phase space the region of states accessible to the oscillator.
Problems 6.1 Phase space of a classical harmonic oscillator The energy of a one-dimensional harmonic oscillator, whose position coordinate is x and whose momentum is p, is given by where the first term on the right is its kinetic and the second term its potential energy. Here m denotes the mass of the osellating particle and a the spring constant of the restoring force acting on the particle. Consider an ensemble of such oscillators, the energy of each oscillator being known to lie between E and E + δΕ. Treating the situation classically, indicate in the two-dimensional xp phase space the region of states accessible to the oscillator.