Phan Thành Nam

1. Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits
   2017/03/28 by Mathieu Lewin, Phan Thành Nam, Lewin, Mathieu +3 · 5 citations
   Physics and Astronomy · Mathematics · #Quantum Mechanics and Applications #Random Matrices and Applications #Spectroscopy and Quantum Chemical Studies
2. Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
   2019/07/16 by Debashis Mukherjee, Phan Thành Nam, Mukherjee, D. +3 · 2 citations
   Mathematics · Physics and Astronomy · Engineering · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Computational Fluid Dynamics and Aerodynamics
3. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
   2014/05/13 by Mathieu Lewin, Phan Thành Nam, Lewin, Mathieu +3 · 1 citation
   Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Quantum many-body systems #Quantum, superfluid, helium dynamics
4. The free energy of dilute Bose gases at low temperatures
   2023/04/05 by Florian Haberberger, Haberberger, Florian, Christian Hainzl +7 · 2 citations
   Physics and Astronomy · #81V73 #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics
5. The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime
   2021/06/21 by Martin Ravn Christiansen, Christian Hainzl, Christiansen, Martin Ravn +3 · 1 citation
   Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Stochastic processes and statistical mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
6. Focusing dynamics of 2D Bose gases in the instability regime
   2023/07/03 by Lea Boßmann, Charlotte Dietze, Boßmann, Lea +3 · 1 citation
   Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #Advanced Mathematical Physics Problems
7. Norm approximation for many-body quantum dynamics and Bogoliubov theory
   2016/11/12 by Phan Thành Nam, Marcin Napiórkowski, Nam, Phan Thành +1 · 1 citation
   Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum chaos and dynamical systems
8. The Gibbs state of the mean-field Bose gas
   2025/01/31 by Andreas Deuchert, Phan Thành Nam, Deuchert, Andreas +3 · 2 citations
   Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics
9. Classical field theory limit of many-body quantum Gibbs states in 2D and\n 3D
   2018/10/19 by Mathieu Lewin, Phan Thành Nam, Lewin, Mathieu +3 · 1 citation
   Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems
10. Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
    2023/12/27 by Giao Ky Duong, Duong, Giao Ky, Rupert L. Frank +7 · 2 citations
    Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations
11. Φ⁴₃ Theory from many-body quantum Gibbs states
    2025/02/07 by Phan Thành Nam, Rongchan Zhu, Nam, Phan Thành +3 · 1 citation
    Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum many-body systems #Theoretical and Computational Physics
12. Direct methods to Lieb-Thirring kinetic inequalities
    2020/12/22 by Phan Thành Nam, Nam, Phan Thành · 1 citation
    Chemistry · Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Crystallography and molecular interactions #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Machine Learning in Materials Science #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
13. P(Φ)₂ Theory from many-body quantum Gibbs states
    2026/07/25 by Phan Thành Nam, Zhilin Yang, Xiangchan Zhu
    #math-ph #math.AP #math.MP #math.PR