Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses.

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses. / Solovej, Jan Philip; Schön, Andreas.

The physics and mathematics of Elliott Lieb. : The 90th Anniversary. ed. / Rupert L. Frank; Ari Laptev; Mathieu Lewin; Robert Seiringer. Vol. 2 European Mathematical Society Publishing House, 2022. p. 307–327.

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Solovej, JP & Schön, A 2022, Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses. in RL Frank, A Laptev, M Lewin & R Seiringer (eds), The physics and mathematics of Elliott Lieb. : The 90th Anniversary. vol. 2, European Mathematical Society Publishing House, pp. 307–327. https://doi.org/10.4171/90

APA

Solovej, J. P., & Schön, A. (2022). Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses. In R. L. Frank, A. Laptev, M. Lewin, & R. Seiringer (Eds.), The physics and mathematics of Elliott Lieb. : The 90th Anniversary (Vol. 2, pp. 307–327). European Mathematical Society Publishing House. https://doi.org/10.4171/90

Vancouver

Solovej JP, Schön A. Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses. In Frank RL, Laptev A, Lewin M, Seiringer R, editors, The physics and mathematics of Elliott Lieb. : The 90th Anniversary. Vol. 2. European Mathematical Society Publishing House. 2022. p. 307–327 https://doi.org/10.4171/90

Author

Solovej, Jan Philip ; Schön, Andreas. / Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses. The physics and mathematics of Elliott Lieb. : The 90th Anniversary. editor / Rupert L. Frank ; Ari Laptev ; Mathieu Lewin ; Robert Seiringer. Vol. 2 European Mathematical Society Publishing House, 2022. pp. 307–327

Bibtex

@inbook{59986c0d77414c5587dc8ba90d8856ae,
title = "Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses.",
abstract = "The upper bound on the ground state energy of the two-component charged Bose gas derived in [Comm. Math. Phys. 266 (2006), 797–818] is extended to the more general case, where the mass of the positive bosons can be different from the mass of the negative bosons. The analysis in principle is quite similar, however the formerly scalar problem becomes two-dimensional (one dimension for the + and one for the − case). This leads to a non-linear 2× 2 matrix minimization problem. Its minimizer is calculated and results in a non-linear mass-dependent coefficient in the upper bound. These new results agree in the equal-mass case with the formerly known results. It is also discussed how the result here interpolates between the equal mass case and the case where one mass is infinite.",
author = "Solovej, {Jan Philip} and Andreas Sch{\"o}n",
year = "2022",
doi = "10.4171/90",
language = "English",
isbn = "978-3-98547-022-8",
volume = "2",
pages = "307–327",
editor = "Frank, {Rupert L. } and Laptev, {Ari } and Lewin, {Mathieu } and Seiringer, {Robert }",
booktitle = "The physics and mathematics of Elliott Lieb.",
publisher = "European Mathematical Society Publishing House",
address = "Germany",

}

RIS

TY - CHAP

T1 - Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses.

AU - Solovej, Jan Philip

AU - Schön, Andreas

PY - 2022

Y1 - 2022

N2 - The upper bound on the ground state energy of the two-component charged Bose gas derived in [Comm. Math. Phys. 266 (2006), 797–818] is extended to the more general case, where the mass of the positive bosons can be different from the mass of the negative bosons. The analysis in principle is quite similar, however the formerly scalar problem becomes two-dimensional (one dimension for the + and one for the − case). This leads to a non-linear 2× 2 matrix minimization problem. Its minimizer is calculated and results in a non-linear mass-dependent coefficient in the upper bound. These new results agree in the equal-mass case with the formerly known results. It is also discussed how the result here interpolates between the equal mass case and the case where one mass is infinite.

AB - The upper bound on the ground state energy of the two-component charged Bose gas derived in [Comm. Math. Phys. 266 (2006), 797–818] is extended to the more general case, where the mass of the positive bosons can be different from the mass of the negative bosons. The analysis in principle is quite similar, however the formerly scalar problem becomes two-dimensional (one dimension for the + and one for the − case). This leads to a non-linear 2× 2 matrix minimization problem. Its minimizer is calculated and results in a non-linear mass-dependent coefficient in the upper bound. These new results agree in the equal-mass case with the formerly known results. It is also discussed how the result here interpolates between the equal mass case and the case where one mass is infinite.

U2 - 10.4171/90

DO - 10.4171/90

M3 - Book chapter

SN - 978-3-98547-022-8

VL - 2

SP - 307

EP - 327

BT - The physics and mathematics of Elliott Lieb.

A2 - Frank, Rupert L.

A2 - Laptev, Ari

A2 - Lewin, Mathieu

A2 - Seiringer, Robert

PB - European Mathematical Society Publishing House

ER -

ID: 335345812