Calculates properties of a Boltzmann distribution given energy levels and temperature. The Boltzmann distribution describes the probability of states in thermal equilibrium and can be applied to portfolio optimization, maximum entropy models, and market microstructure. Returns comprehensive thermodynamic properties including probabilities, partition function, average energy, entropy, free energy, and heat capacity.
Use Cases:
Formula: P(E_i) = exp(-E_i/T) / Z, where Z = Σ exp(-E_i/T)
Credits: 5 credits per request (Pro Tier)
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