Bogoliubov excitation spectrum of Bose gases
DOI10.4171/8ecm/04OpenAlexW4384397933MaRDI QIDQ6064577
No author found.
Publication date: 10 November 2023
Published in: European Congress of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/8ecm/04
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of gases (82D05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Bosonic systems in quantum theory (81V73)
Related Items (1)
Cites Work
- Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
- The excitation spectrum for weakly interacting Bosons in a trap
- Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
- The excitation spectrum for weakly interacting bosons
- Binding energy of homogeneous Bose gases
- The excitation spectrum of Bose gases interacting through singular potentials
- Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
- The second order upper bound for the ground energy of a Bose gas
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Interacting bosons in a double-well potential: localization regime
- Bogoliubov correction to the mean-field dynamics of interacting bosons
- Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
- Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
- Higher order corrections to the mean-field description of the dynamics of interacting bosons
- Bogoliubov theory in the Gross-Pitaevskii limit
- Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger
- Length scales for BEC in the dilute Bose gas
- Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
- Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime
- Bose-Einstein condensation with optimal rate for trapped bosons in the Gross-Pitaevskii regime
- Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
- The energy of dilute Bose gases
- Collective excitations of Bose gases in the mean-field regime
- Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation
- A note on the validity of Bogoliubov correction to mean-field dynamics
- Gross-Pitaevskii dynamics for Bose-Einstein condensates
- Norm approximation for many-body quantum dynamics: Focusing case in low dimensions
- Derivation of Hartree's theory for generic mean-field Bose systems
- Bose-Einstein condensation beyond the Gross-Pitaevskii regime
- Effective Evolution Equations from Quantum Dynamics
- Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
- Ground-State Energy of a Hard-Sphere Gas
- Fluctuations around Hartree states in the mean-field regime
- Bosonic quadratic Hamiltonians
- Another proof of BEC in the GP-limit
- A new second-order upper bound for the ground state energy of dilute Bose gases
- Excitation spectrum of Bose gases beyond the Gross–Pitaevskii regime
- Bogoliubov Spectrum of Interacting Bose Gases
- Ground state energy of mixture of Bose gases
- Quantitative Derivation of the Gross‐Pitaevskii Equation
- Theory of the Superfluidity of Helium II
- Asymptotic expansion of low-energy excitations for weakly interacting bosons
- Bogoliubov excitation spectrum of Bose gases
This page was built for publication: Bogoliubov excitation spectrum of Bose gases
