DOI: 10.1007/bf01238859. Ground state(s) of the spin-boson hamiltonian

Ground state(s) of the spin-boson hamiltonian

10.1007/bf01238859

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Spohn, H. (1989). Ground state(s) of the spin-boson hamiltonian. Communications in Mathematical Physics, 123(2), 277â304.

Authors 1

Herbert Spohn (first)

References 14 Referenced 113

Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys59, 1 (1987) (10.1103/RevModPhys.59.1) / Rev. Mod. Phys by A. J. Leggett (1987)
Spohn, H., Dümcke, R.: Quantum tunneling with dissipation and the Ising model over R. J. Stat. Phys.41, 389 (1985) (10.1007/BF01009015) / J. Stat. Phys. by H. Spohn (1985)
Aizenman, M., Newman, C. M.: Discontinuity of the percolation density in one dimensional 1/|x?y|2 percolation models. Commun. Math. Phys.107, 611 (1986) (10.1007/BF01205489) / Commun. Math. Phys. by M. Aizenman (1986)
Aizenman, M., Chayes, J. T., Chayes, L., Newman, C. M.: Discontinuity of the magnetization in one dimensional 1/|x?y|2 Ising and Potts models. J. Stat. Phys.50, 1 (1988) (10.1007/BF01022985) / J. Stat. Phys. by M. Aizenman (1988)
Fannes, M., Nachtergaele, B., Verbeure, A.: The equilibrium states of the spin-boson model. Commun. Math. Phys.114, 537 (1988) (10.1007/BF01229453) / Commun. Math. Phys. by M. Fannes (1988)
Bratteli, O., Robinson, D. W.: Operator algebras and quantum statistical mechanics, vol. II. Berlin, Heidelberg, New York: Springer 1981 (10.1007/978-3-662-09089-3) / Operator algebras and quantum statistical mechanics, vol. II by O. Bratteli (1981)
Ginibre, J.: Some applications of functional integration in statistical mechanics. In: Statistical mechanics and field theory. DeWitt, C., Stora, R. (eds.). New York: Gordon and Breach 1971 / Statistical mechanics and field theory by J. Ginibre (1971)
Lebowitz, J. L., Martin-Löf, A.: On the uniqueness of the equilibrium state for Ising spin systems. Commun. Math. Phys.25, 276 (1972) (10.1007/BF01877686) / Commun. Math. Phys. by J. L. Lebowitz (1972)
Lebowitz, J. L.: Coexistence of phases in Ising ferromagnets. J. Stat. Phys.16, 463 (1977) (10.1007/BF01152284) / J. Stat. Phys. by J. L. Lebowitz (1977)
Bricmont J., Lebowitz, J. L.: On the continuity of the magnetization and energy in Ising ferromagnets. J. Stat. Phys.42, 861 (1986) (10.1007/BF01010449) / J. Stat. Phys. by J. Bricmont (1986)
Newman, C. M., Schulman, L. S.: One dimensional 1/|i?j| s percolation models: The existence of a transition fors?2. Commun. Math. Phys.104, 547 (1986) (10.1007/BF01211064) / Commun. Math. Phys. by C. M. Newman (1986)
Imbrie, J. Z., Newman, C. M.: An intermediate phase with slow decay of correlations in one dimensional 1/|x?y|2 percolation, Ising and Potts models. Commun Math. Phys.118, 303 (1988) (10.1007/BF01218582) / Commun Math. Phys. by J. Z. Imbrie (1988)
Thouless, J. D.: Long range order in one-dimensional Ising systems. Phys. Rev.187, 732 (1969) (10.1103/PhysRev.187.732) / Phys. Rev. by J. D. Thouless (1969)
Fröhlich, J., Isreal, R. B., Lieb, E. H., Simon, B.: Phase transitions and reflection positivity, I. General theory and long-range lattice models. Commun. Math. Phys.62, 1?34 (1980) (10.1007/BF01940327) / Commun. Math. Phys. by J. Fröhlich (1980)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 4:41 p.m.)
Deposited	6 years, 3 months ago (May 2, 2019, 2:12 a.m.)
Indexed	1 month, 2 weeks ago (July 11, 2025, 6:44 a.m.)
Issued	36 years, 3 months ago (June 1, 1989)
Published	36 years, 3 months ago (June 1, 1989)
Published Print	36 years, 3 months ago (June 1, 1989)

Funders 0

None

BibTeX

@article{Spohn_1989, title={Ground state(s) of the spin-boson hamiltonian}, volume={123}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01238859}, DOI={10.1007/bf01238859}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Spohn, Herbert}, year={1989}, month=jun, pages={277–304} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        11
      ]
    ],
    "date-time": "2025-07-11T10:44:59Z",
    "timestamp": 1752230699206
  },
  "reference-count": 14,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "2",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1989,
            6,
            1
          ]
        ],
        "date-time": "1989-06-01T00:00:00Z",
        "timestamp": 612662400000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "http://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1989,
        6
      ]
    ]
  },
  "DOI": "10.1007/bf01238859",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        2,
        25
      ]
    ],
    "date-time": "2005-02-25T21:41:52Z",
    "timestamp": 1109367712000
  },
  "page": "277-304",
  "source": "Crossref",
  "is-referenced-by-count": 113,
  "title": "Ground state(s) of the spin-boson hamiltonian",
  "prefix": "10.1007",
  "volume": "123",
  "author": [
    {
      "given": "Herbert",
      "family": "Spohn",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "297",
  "reference": [
    {
      "key": "CR1",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1103/RevModPhys.59.1",
      "volume": "59",
      "author": "A. J. Leggett",
      "year": "1987",
      "unstructured": "Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys59, 1 (1987)",
      "journal-title": "Rev. Mod. Phys"
    },
    {
      "key": "CR2",
      "doi-asserted-by": "crossref",
      "first-page": "389",
      "DOI": "10.1007/BF01009015",
      "volume": "41",
      "author": "H. Spohn",
      "year": "1985",
      "unstructured": "Spohn, H., D\u00fcmcke, R.: Quantum tunneling with dissipation and the Ising model over R. J. Stat. Phys.41, 389 (1985)",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "CR3",
      "doi-asserted-by": "crossref",
      "first-page": "611",
      "DOI": "10.1007/BF01205489",
      "volume": "107",
      "author": "M. Aizenman",
      "year": "1986",
      "unstructured": "Aizenman, M., Newman, C. M.: Discontinuity of the percolation density in one dimensional 1/|x?y|2 percolation models. Commun. Math. Phys.107, 611 (1986)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR4",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF01022985",
      "volume": "50",
      "author": "M. Aizenman",
      "year": "1988",
      "unstructured": "Aizenman, M., Chayes, J. T., Chayes, L., Newman, C. M.: Discontinuity of the magnetization in one dimensional 1/|x?y|2 Ising and Potts models. J. Stat. Phys.50, 1 (1988)",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "CR5",
      "doi-asserted-by": "crossref",
      "first-page": "537",
      "DOI": "10.1007/BF01229453",
      "volume": "114",
      "author": "M. Fannes",
      "year": "1988",
      "unstructured": "Fannes, M., Nachtergaele, B., Verbeure, A.: The equilibrium states of the spin-boson model. Commun. Math. Phys.114, 537 (1988)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR6",
      "doi-asserted-by": "crossref",
      "DOI": "10.1007/978-3-662-09089-3",
      "volume-title": "Operator algebras and quantum statistical mechanics, vol. II",
      "author": "O. Bratteli",
      "year": "1981",
      "unstructured": "Bratteli, O., Robinson, D. W.: Operator algebras and quantum statistical mechanics, vol. II. Berlin, Heidelberg, New York: Springer 1981"
    },
    {
      "key": "CR7",
      "volume-title": "Statistical mechanics and field theory",
      "author": "J. Ginibre",
      "year": "1971",
      "unstructured": "Ginibre, J.: Some applications of functional integration in statistical mechanics. In: Statistical mechanics and field theory. DeWitt, C., Stora, R. (eds.). New York: Gordon and Breach 1971"
    },
    {
      "key": "CR8",
      "doi-asserted-by": "crossref",
      "first-page": "276",
      "DOI": "10.1007/BF01877686",
      "volume": "25",
      "author": "J. L. Lebowitz",
      "year": "1972",
      "unstructured": "Lebowitz, J. L., Martin-L\u00f6f, A.: On the uniqueness of the equilibrium state for Ising spin systems. Commun. Math. Phys.25, 276 (1972)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR9",
      "doi-asserted-by": "crossref",
      "first-page": "463",
      "DOI": "10.1007/BF01152284",
      "volume": "16",
      "author": "J. L. Lebowitz",
      "year": "1977",
      "unstructured": "Lebowitz, J. L.: Coexistence of phases in Ising ferromagnets. J. Stat. Phys.16, 463 (1977)",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "CR10",
      "doi-asserted-by": "crossref",
      "first-page": "861",
      "DOI": "10.1007/BF01010449",
      "volume": "42",
      "author": "J. Bricmont",
      "year": "1986",
      "unstructured": "Bricmont J., Lebowitz, J. L.: On the continuity of the magnetization and energy in Ising ferromagnets. J. Stat. Phys.42, 861 (1986)",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "CR11",
      "doi-asserted-by": "crossref",
      "first-page": "547",
      "DOI": "10.1007/BF01211064",
      "volume": "104",
      "author": "C. M. Newman",
      "year": "1986",
      "unstructured": "Newman, C. M., Schulman, L. S.: One dimensional 1/|i?j| s percolation models: The existence of a transition fors?2. Commun. Math. Phys.104, 547 (1986)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR12",
      "doi-asserted-by": "crossref",
      "first-page": "303",
      "DOI": "10.1007/BF01218582",
      "volume": "118",
      "author": "J. Z. Imbrie",
      "year": "1988",
      "unstructured": "Imbrie, J. Z., Newman, C. M.: An intermediate phase with slow decay of correlations in one dimensional 1/|x?y|2 percolation, Ising and Potts models. Commun Math. Phys.118, 303 (1988)",
      "journal-title": "Commun Math. Phys."
    },
    {
      "key": "CR13",
      "doi-asserted-by": "crossref",
      "first-page": "732",
      "DOI": "10.1103/PhysRev.187.732",
      "volume": "187",
      "author": "J. D. Thouless",
      "year": "1969",
      "unstructured": "Thouless, J. D.: Long range order in one-dimensional Ising systems. Phys. Rev.187, 732 (1969)",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "CR14",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF01940327",
      "volume": "62",
      "author": "J. Fr\u00f6hlich",
      "year": "1980",
      "unstructured": "Fr\u00f6hlich, J., Isreal, R. B., Lieb, E. H., Simon, B.: Phase transitions and reflection positivity, I. General theory and long-range lattice models. Commun. Math. Phys.62, 1?34 (1980)",
      "journal-title": "Commun. Math. Phys."
    }
  ],
  "container-title": "Communications in Mathematical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01238859.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/article/10.1007/BF01238859/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01238859",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        5,
        2
      ]
    ],
    "date-time": "2019-05-02T06:12:07Z",
    "timestamp": 1556777527000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://link.springer.com/10.1007/BF01238859"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1989,
        6
      ]
    ]
  },
  "references-count": 14,
  "journal-issue": {
    "issue": "2",
    "published-print": {
      "date-parts": [
        [
          1989,
          6
        ]
      ]
    }
  },
  "alternative-id": [
    "BF01238859"
  ],
  "URL": "http://dx.doi.org/10.1007/BF01238859",
  "relation": {},
  "ISSN": [
    "0010-3616",
    "1432-0916"
  ],
  "subject": [],
  "container-title-short": "Commun.Math. Phys.",
  "published": {
    "date-parts": [
      [
        1989,
        6
      ]
    ]
  }
}