Boson correlation energies and density matrices from reduced Hamiltonian interpolation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 4, 2000, Pages 043603-043601

  Mazziotti, David A ^a   Herschbach, Dudley R ^b  

^a DUKE UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; ELECTRONIC STRUCTURE; GROUND STATE; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

BOSE-EINSTEIN CONDENSATION; HELLMAN-FEYNMAN THEOREM; MANY BODY PERTURBATION THEORY; MEAN FIELD APPROXIMATION; REDUCED HAMILTONIAN INTERPOLATION; TWO PARTICLE REDUCED DENSITY MATRIX;

CHARGED PARTICLES;

EID: 0034294064     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. D.G. Fried et al., Phys. Rev. Lett. 81, 3811 (1998), and work cited therein.
2. F. Dalfovo, S. Giorgini, and L.P. Pitaevskii, Rev. Mod. Phys. 71, 463 (1999); A.S. Parkins and D.F. Walls, Rep. Prog. Phys. 303, 2 (1998).
3. F. Dalfovo, S. Giorgini, and L.P. Pitaevskii, Rev. Mod. Phys. 71, 463 (1999); A.S. Parkins and D.F. Walls, Rep. Prog. Phys. 303, 2 (1998).
4. A. Szabo and N. S. Ostlund, Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory, 2nd ed. (Dover, New York, 1996).
5. B.D. Esry, Phys. Rev. A 55, 1147 (1997); T. Haugset and H. Haugerud, ibid. 57, 3809 (1998).
6. B.D. Esry, Phys. Rev. A 55, 1147 (1997); T. Haugset and H. Haugerud, ibid. 57, 3809 (1998).
7. D.A. Mazziotti and D.R. Herschbach, Phys. Rev. Lett. 83, 5185 (1999).
8. A.J. Coleman, Rev. Mod. Phys. 35, 668 (1963); C. Garrod and J. Percus, J. Math. Phys. 5, 1756 (1964): H. Kummer, ibid. 8, 2063 (1967).
9. A.J. Coleman, Rev. Mod. Phys. 35, 668 (1963); C. Garrod and J. Percus, J. Math. Phys. 5, 1756 (1964): H. Kummer, ibid. 8, 2063 (1967).
10. A.J. Coleman, Rev. Mod. Phys. 35, 668 (1963); C. Garrod and J. Percus, J. Math. Phys. 5, 1756 (1964): H. Kummer, ibid. 8, 2063 (1967).
11. J.E. Harriman, Phys. Rev. A 17, 1249 (1978); 17, 1257 (1978).
12. J.E. Harriman, Phys. Rev. A 17, 1249 (1978); 17, 1257 (1978).
13. E.R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic Press, New York, 1976).
14. A.J. Coleman and V.I. Yukalov, Reduced Density Matrices (Springer-Verlag, New York, 2000).
15. D.A. Mazziotti, Phys. Rev. A 57, 4219 (1998); Chem. Phys. Lett. 289, 419 (1998); Int. J. Quantum Chem. 70, 557 (1998); Phys. Rev. A 60, 3618 (1999); 60, 4396 (1999).
16. D.A. Mazziotti, Phys. Rev. A 57, 4219 (1998); Chem. Phys. Lett. 289, 419 (1998); Int. J. Quantum Chem. 70, 557 (1998); Phys. Rev. A 60, 3618 (1999); 60, 4396 (1999).
17. D.A. Mazziotti, Phys. Rev. A 57, 4219 (1998); Chem. Phys. Lett. 289, 419 (1998); Int. J. Quantum Chem. 70, 557 (1998); Phys. Rev. A 60, 3618 (1999); 60, 4396 (1999).
18. D.A. Mazziotti, Phys. Rev. A 57, 4219 (1998); Chem. Phys. Lett. 289, 419 (1998); Int. J. Quantum Chem. 70, 557 (1998); Phys. Rev. A 60, 3618 (1999); 60, 4396 (1999).
19. D.A. Mazziotti, Phys. Rev. A 57, 4219 (1998); Chem. Phys. Lett. 289, 419 (1998); Int. J. Quantum Chem. 70, 557 (1998); Phys. Rev. A 60, 3618 (1999); 60, 4396 (1999).
20. R.P. Feynman, Phys. Rev. 56, 340 (1939).
21. M.L. Sage, Theor. Chim. Acta 19, 179 (1970).
22. L. Cohen and L. Chongmoon, J. Math. Phys. 26, 3105 (1985), and work cited therein.
23. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 62, 188 (1965); 62, 199 (1965); 62, 211 (1965); D. Agassi, H.J. Lipkin, and N. Meshkov, ibid. 86, 321 (1966).
24. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 62, 188 (1965); 62, 199 (1965); 62, 211 (1965); D. Agassi, H.J. Lipkin, and N. Meshkov, ibid. 86, 321 (1966).
25. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 62, 188 (1965); 62, 199 (1965); 62, 211 (1965); D. Agassi, H.J. Lipkin, and N. Meshkov, ibid. 86, 321 (1966).
26. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 62, 188 (1965); 62, 199 (1965); 62, 211 (1965); D. Agassi, H.J. Lipkin, and N. Meshkov, ibid. 86, 321 (1966).
27. Dimensional Scaling in Chemical Physics, edited by D. R. Herschbach, J. Avery, and O. Goscinski (Kluwer, Dordrecht, 1993); J.G. Loeser, Z. Zhang. S. Kais, and D.R. Herschbach, J. Chem. Phys. 95, 4525 (1991); D.R. Herschbach, Int. J. Quantum Chem. 57, 295 (1996).
28. Dimensional Scaling in Chemical Physics, edited by D. R. Herschbach, J. Avery, and O. Goscinski (Kluwer, Dordrecht, 1993); J.G. Loeser, Z. Zhang. S. Kais, and D.R. Herschbach, J. Chem. Phys. 95, 4525 (1991); D.R. Herschbach, Int. J. Quantum Chem. 57, 295 (1996).
29. Dimensional Scaling in Chemical Physics, edited by D. R. Herschbach, J. Avery, and O. Goscinski (Kluwer, Dordrecht, 1993); J.G. Loeser, Z. Zhang. S. Kais, and D.R. Herschbach, J. Chem. Phys. 95, 4525 (1991); D.R. Herschbach, Int. J. Quantum Chem. 57, 295 (1996).
30. D.K. Watson and B.A. McKinney, Phys. Rev. A 59, 4091 (1999).
31. C. Garrod and M.A. Fusco, Int. J. Quantum Chem. 10, 495 (1976).
32. J.J. More and S.J. Wright, Optimization Software Guide (SIAM, Philadelphia, 1993).
33. J.W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1988).
34. R.J. Bartlett, J. Phys. Chem. 93, 1697 (1989); T.D. Crawford and H.F. Schaefer III, Rev. Comput. Chem. 14, 33 (2000).
35. R.J. Bartlett, J. Phys. Chem. 93, 1697 (1989); T.D. Crawford and H.F. Schaefer III, Rev. Comput. Chem. 14, 33 (2000).
36. M.P. Nightingale and C.J. Umrigar, Adv. Chem. Phys. 105, 65 (1999).