SCOPUS 정보 검색 플랫폼

Physical Review Letters

Volumn 106, Issue 8, 2011, Pages

Large-scale semidefinite programming for many-electron quantum mechanics

(1) Mazziotti, David A a

a UNIVERSITY OF CHICAGO (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE-SCALE APPLICATIONS; METAL-TO-INSULATOR TRANSITIONS; POLYNOMIAL-TIME; QUANTUM INFORMATION; QUANTUM MECHANICS; QUANTUM SYSTEM; REDUCED-DENSITY MATRIX; SDP METHODS; SEMI-DEFINITE PROGRAMMING;

CONSTRAINED OPTIMIZATION; METAL INSULATOR TRANSITION; POLYNOMIAL APPROXIMATION; QUANTUM ELECTRONICS; QUANTUM OPTICS;

MATHEMATICAL PROGRAMMING;

EID: 79952017974 PISSN: 00319007 EISSN: 10797114 Source Type: Journal
DOI: 10.1103/PhysRevLett.106.083001 Document Type: Article

Times cited : (167)

References (30)

1
- 53449100749
- JCPSA6 0021-9606 10.1063/1.2983652
- G. Gidofalvi and D.A. Mazziotti, J. Chem. Phys. 129, 134108 (2008); JCPSA6 0021-9606 10.1063/1.2983652
- (2008) J. Chem. Phys. , vol.129 , pp. 134108
- Gidofalvi, G.¹ Mazziotti, D.A.²

2
- 77954577536
- JCPSA6 0021-9606 10.1063/1.3459059
- A. Sinitskiy, L. Greenman, and D.A. Mazziotti, J. Chem. Phys. 133, 014104 (2010); JCPSA6 0021-9606 10.1063/1.3459059
- (2010) J. Chem. Phys. , vol.133 , pp. 014104
- Sinitskiy, A.¹ Greenman, L.² Mazziotti, D.A.³

3
- 78149363124
- JCPSA6 0021-9606 10.1063/1.3501250
- L. Greenman and D.A. Mazziotti, J. Chem. Phys. 133, 164110 (2010). JCPSA6 0021-9606 10.1063/1.3501250
- (2010) J. Chem. Phys. , vol.133 , pp. 164110
- Greenman, L.¹ Mazziotti, D.A.²

4
- 33846525684
- edited by D.A. Mazziotti, Advances in Chemical Physics Vol. Wiley, New York
- Two-Electron Reduced-Density-Matrix Mechanics, edited by, D.A. Mazziotti, Advances in Chemical Physics Vol. 134 (Wiley, New York, 2007).
- (2007) Two-Electron Reduced-Density-Matrix Mechanics , vol.134

5
- 0242295588
- Uncertainty relations and reduced density matrices: Mapping many-body quantum mechanics onto four particles
- DOI 10.1103/PhysRevA.63.042113, 042113
- D.A. Mazziotti and R.M. Erdahl, Phys. Rev (Pubitemid 33722204)
- (2001) Physical Review A - Atomic, Molecular, and Optical Physics , vol.63 , Issue.4 , pp. 1-9
- Mazziotti, D.A.¹ Erdahl, R.M.²

6
- 0036599956
- PLRAAN 1050-2947 10.1103/PhysRevA.65.062511
- D.A. Mazziotti, Phys. Rev. A 65, 062511 (2002); PLRAAN 1050-2947 10.1103/PhysRevA.65.062511
- (2002) Phys. Rev. A , vol.65 , pp. 062511
- Mazziotti, D.A.¹

7
- 33748313131
- Variational reduced-density-matrix method using three-particle N -representability conditions with application to many-electron molecules
- DOI 10.1103/PhysRevA.74.032501
- D.A. Mazziotti Phys. Rev. A 74, 032501 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.032501 (Pubitemid 44330449)
- (2006) Physical Review A - Atomic, Molecular, and Optical Physics , vol.74 , Issue.3 , pp. 032501
- Mazziotti, D.A.¹

8
- 0035872736
- Variational calculations of fermion second-order reduced density matrices be semidefinite programming algorithm
- DOI 10.1063/1.1360199
- M. Nakata, H. Nakatsuji, M. Ehara, M. Fukuda, K. Nakata, and K. Fujisawa, J. Chem. Phys. 114, 8282 (2001). JCPSA6 0021-9606 10.1063/1.1360199 (Pubitemid 32512374)
- (2001) Journal of Chemical Physics , vol.114 , Issue.19 , pp. 8282-8292
- Nakata, M.¹ Nakatsuji, H.² Ehara, M.³ Fukuda, M.⁴ Nakata, K.⁵ Fujisawa, K.⁶

9
- 1442282174
- JCPSA6 0021-9606 10.1063/1.1636721
- Z. Zhao, B.J. Braams, H. Fukuda, M.L. Overton, and J.K. Percus, J. Chem. Phys. 120, 2095 (2004); JCPSA6 0021-9606 10.1063/1.1636721
- (2004) J. Chem. Phys. , vol.120 , pp. 2095
- Zhao, Z.¹ Braams, B.J.² Fukuda, H.³ Overton, M.L.⁴ Percus, J.K.⁵

10
- 33846664572
- 1436-4646 10.1007/s10107-006-0027-y
- M. Fukuda, B.J. Braams, M. Nakata, M.L. Overton, J.K. Percus, M. Yamashita, and Z. Zhao, Math. Program., Ser. B 1436-4646 109, 553 (2006). 10.1007/s10107-006-0027-y
- (2006) Math. Program., Ser. B , vol.109 , pp. 553
- Fukuda, M.¹ Braams, B.J.² Nakata, M.³ Overton, M.L.⁴ Percus, J.K.⁵ Yamashita, M.⁶ Zhao, Z.⁷

11
- 33747235379
- JCPSA6 0021-9606 10.1063/1.2222358
- E. Cancés, G. Stoltz, and M. Lewin, J. Chem. Phys. 125, 064101 (2006). JCPSA6 0021-9606 10.1063/1.2222358
- (2006) J. Chem. Phys. , vol.125 , pp. 064101
- Cancés, E.¹ Stoltz, G.² Lewin, M.³

12
- 70349139158
- PLRAAN 1050-2947 10.1103/PhysRevA.80.032508
- B. Verstichel, H. van Aggelen, D. Van Neck, P.W. Ayers, and P. Bultinck, Phys. Rev. A 80, 032508 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.032508
- (2009) Phys. Rev. A , vol.80 , pp. 032508
- Verstichel, B.¹ Van Aggelen, H.² Van Neck, D.³ Ayers, P.W.⁴ Bultinck, P.⁵

13
- 77949743299
- JCPSA6 0021-9606 10.1063/1.3354910
- H. van Aggelen, B. Verstichel, P. Bultinck, D. Van Neck, P.W. Ayers, and D.L. Cooper, J. Chem. Phys. 132, 114112 (2010); JCPSA6 0021-9606 10.1063/1.3354910
- (2010) J. Chem. Phys. , vol.132 , pp. 114112
- Van Aggelen, H.¹ Verstichel, B.² Bultinck, P.³ Van Neck, D.⁴ Ayers, P.W.⁵ Cooper, D.L.⁶

14
- 70350212811
- PLRAAN 1050-2947 10.1103/PhysRevA.80.042109
- M. Nakata and K. Yasuda, Phys. Rev. A 80, 042109 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.042109
- (2009) Phys. Rev. A , vol.80 , pp. 042109
- Nakata, M.¹ Yasuda, K.²

15
- 78549262706
- PRLTAO 0031-9007 10.1103/PhysRevLett.105.213003
- N. Shenvi and A. Izmaylov, Phys. Rev. Lett. 105, 213003 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.213003
- (2010) Phys. Rev. Lett. , vol.105 , pp. 213003
- Shenvi, N.¹ Izmaylov, A.²

16
- 0000450455
- RMHPBE 0034-4877 10.1016/0034-4877(79)90015-6
- R.M. Erdahl, Rep. Math. Phys. 15, 147 (1979). RMHPBE 0034-4877 10.1016/0034-4877(79)90015-6
- (1979) Rep. Math. Phys. , vol.15 , pp. 147
- Erdahl, R.M.¹

17
- 0030106462
- SIREAD 0036-1445 10.1137/1038003
- L. Vandenberghe and S. Boyd, SIAM Rev. 38, 49 (1996). SIREAD 0036-1445 10.1137/1038003
- (1996) SIAM Rev. , vol.38 , pp. 49
- Vandenberghe, L.¹ Boyd, S.²

18
- 37649028080
- Realization of quantum chemistry without wave functions through first-order semidefinite programming
- DOI 10.1103/PhysRevLett.93.213001, 213001
- D.A. Mazziotti, Phys. Rev. Lett. 93, 213001 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.213001 (Pubitemid 40011376)
- (2004) Physical Review Letters , vol.93 , Issue.21 , pp. 2130011-2130014
- Mazziotti, D.A.¹

19
- 34547518241
- RMMAEV 0764-583X 10.1051/m2an:2007021
- D.A. Mazziotti Math. Model. Numer. Anal. RMMAEV 0764-583X 41, 249 (2007). 10.1051/m2an:2007021
- (2007) Math. Model. Numer. Anal. , vol.41 , pp. 249
- Mazziotti, D.A.¹

20
- 4244215471
- PLRAAN 1050-2947 10.1103/PhysRevA.65.030302
- K. Audenaert and B. DeMoor, Phys. Rev. A 65, 030302 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.030302
- (2002) Phys. Rev. A , vol.65 , pp. 030302
- Audenaert, K.¹ Demoor, B.²

21
- 0003427924
- Springer, New York
- A.J. Coleman and V.I. Yukalov, Reduced Density Matrices: Coulson's Challenge (Springer, New York 2000).
- (2000) Reduced Density Matrices: Coulson's Challenge
- Coleman, A.J.¹ Yukalov, V.I.²

22
- 36149015994
- RMPHAT 0034-6861 10.1103/RevModPhys.35.668
- A.J. Coleman, Rev. Mod. Phys. 35, 668 (1963). RMPHAT 0034-6861 10.1103/RevModPhys.35.668
- (1963) Rev. Mod. Phys. , vol.35 , pp. 668
- Coleman, A.J.¹

23
- 4243998216
- PLRAAN 1050-2947 10.1103/PhysRevA.17.1257
- J.E. Harriman, Phys. Rev. A 17, 1257 (1978). PLRAAN 1050-2947 10.1103/PhysRevA.17.1257
- (1978) Phys. Rev. A , vol.17 , pp. 1257
- Harriman, J.E.¹

24
- 0000647855
- JMAPAQ 0022-2488 10.1063/1.1704098
- C. Garrod and J. Percus, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 5, 1756 (1964). 10.1063/1.1704098
- (1964) J. Math. Phys. (N.Y.) , vol.5 , pp. 1756
- Garrod, C.¹ Percus, J.²

25
- 70450212537
- SJOPE8 1095-7189 10.1137/070704575
- J. Malick, J. Povh, F. Rendl, and A. Wiegele, SIAM J. Optim. 20, 336 (2009). SJOPE8 1095-7189 10.1137/070704575
- (2009) SIAM J. Optim. , vol.20 , pp. 336
- Malick, J.¹ Povh, J.² Rendl, F.³ Wiegele, A.⁴

26
- 1542337156
- A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
- DOI 10.1007/s10107-002-0352-8
- S. Burer and R.D.C. Monteiro, Math. Program. 95, 329 (2003). MHPGA4 1436-4646 10.1007/s10107-002-0352-8 (Pubitemid 44757858)
- (2003) Mathematical Programming, Series B , vol.95 , Issue.2 , pp. 329-357
- Burer, S.¹ Monteiro, R.D.C.²

27
- 79952021233
- Z. Wen, D. Goldfarb, and W. Yin (to be published)
- Z. Wen, D. Goldfarb, and W. Yin (to be published).

28
- 57949085898
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.253002
- D.A. Mazziotti, Phys. Rev. Lett. 101, 253002 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.253002
- (2008) Phys. Rev. Lett. , vol.101 , pp. 253002
- Mazziotti, D.A.¹

29
- 33749493256
- Anti-hermitian contracted Schrödinger equation: Direct determination of the two-electron reduced density matrices of many-electron molecules
- DOI 10.1103/PhysRevLett.97.143002
- D.A. Mazziotti, Phys. Rev. Lett. 97, 143002 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.143002 (Pubitemid 44522671)
- (2006) Physical Review Letters , vol.97 , Issue.14 , pp. 143002
- Mazziotti, D.A.¹

30
- 36048989623
- Multireference many-electron correlation energies from two-electron reduced density matrices computed by solving the anti-Hermitian contracted Schrödinger equation
- DOI 10.1103/PhysRevA.76.052502
- D.A. Mazziotti Phys. Rev. A 76, 052502 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.052502 (Pubitemid 350085079)
- (2007) Physical Review A - Atomic, Molecular, and Optical Physics , vol.76 , Issue.5 , pp. 052502
- Mazziotti, D.A.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.