Energy spectrum of interacting gas: cluster expansion method
arXiv:2204.04205 · doi:10.1016/j.chemphys.2022.111537
Abstract
In this paper, we calculate the energy spectrum of interacting gases by converting the cluster expansion method in statistical mechanics into a method of solving energy eigenvalues. We obtain an explicit expression of the energy eigenvalue, by which we can calculate the eigenvalue of an interacting gas from the interparticle potential directly. As an example, we calculate the energy spectrum for an interacting gas with soft-sphere potentials.
References in corpus (23)
- Heat kernel expansion: user's manual
- Factorization in large-scale many-body calculations
- Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
- The number of eigenstates: counting function and heat kernel
- Eigenvalue Distributions of Reduced Density Matrices
- Exact Partition Function Zeros of a Polymer on a Simple-Cubic Lattice
- Cluster expansion in the canonical ensemble
- Covariant propagator in AdS5 x S5 superspace
- Virial expansion and condensation with a new generating function
- Canonical Partition Functions for Parastatistical Systems of any order
- Heat-kernel approach for scattering
- Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases
- Quantifying the effect of interactions in quantum many-body systems
- The microscopic meaning of grand potential: cluster properties of the one-dimensional lattice gas
- Cluster expansion for ground states of local Hamiltonians
- Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
- Thermosize potential in semiconductors
- Calculating eigenvalues of many-body systems from partition functions
- An exactly solvable phase transition model: generalized statistics and generalized Bose-Einstein condensation
- Characterization of density oscillations in confined and degenerate Fermi gases
- A statistical mechanical approach to restricted integer partition functions
- Classical limit of the canonical partition function
- Bose-like few-fermion systems