The product of an unbalanced brain—one of its inventors committed suicide while on vacation at Duino—it can be written as the trace over state space of the operator e to the minus beta H, where H is the system's Hamiltonian operator.
The product of an unbalanced brain—one of its inventors committed suicide while on vacation at Duino—it can be written as the trace over state space of the operator e to the minus beta H, where H is the system's Hamiltonian operator. In classical mechanics, the momenta and positions of the particles vary continuously, so it is written as an integral over phase space divided by h to the 3N, which accounts for density of states in phase space. Computed as sum over all states of the Boltzmann or Gibbs factors, for 10 points, name this quantity denoted Z, used in statistical mechanics.
The product of an unbalanced brain—one of its inventors committed suicide while on vacation at Duino—it can be written as the trace over state space of the operator e to the minus beta H, where H is the system's Hamiltonian operator.
grand canonical {partition function}