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Nam, Phan Thành

  1. Derivation of Hartree's theory for generic mean-field Bose systems
    2013/03/05 by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
  2. 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
  3. Derivation of nonlinear Gibbs measures from many-body quantum mechanics
    2014/10/01 by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  4. Existence and nonexistence in the liquid drop model
    2021/01/06 by Frank, Rupert L., Nam, Phan Thành · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  5. Blow-up profile of rotating 2D focusing Bose gases
    2018/02/06 by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas)
  6. 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
  7. A note on 2D focusing many-boson systems
    2015/09/30 by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas)
  8. The ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory
    2016/06/23 by Frank, Rupert L., Nam, Phan Thành, Bosch, Hanne Van Den · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  9. 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
  10. Bogoliubov spectrum of interacting Bose gases
    2012/11/12 by Lewin, Mathieu, Nam, Phan Thành, Serfaty, Sylvia +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  11. Improved stability for 2D attractive Bose gases
    2019/09/19 by Nam, Phan Thành, Rougerie, Nicolas · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  12. Fluctuations around Hartree states in the mean-field regime
    2013/07/02 by Lewin, Mathieu, Nam, Phan Thành, Schlein, Benjamin · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  13. 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
  14. The Huang-Yang formula for the low-density Fermi gas: upper bound
    2024/09/26 by Giacomelli, Emanuela L., Hainzl, Christian, Nam, Phan Thành +1 · 2 citations
    #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas)
  15. 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
  16. A note on the validity of Bogoliubov correction to mean-field dynamics
    2016/04/18 by Nam, Phan Thành, Napiórkowski, Marcin · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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)
  23. Minimizing sequences of Sobolev inequalities revisited
    2024/12/11 by Dietze, Charlotte, Nam, Phan Thành · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  24. The Huang-Yang conjecture for the low-density Fermi gas
    2025/05/28 by Giacomelli, Emanuela L., Hainzl, Christian, Nam, Phan Thành +1 · 2 citations
    #FOS: Physical sciences #Mathematical Physics (math-ph)