DOI: 10.1063/1.472281. A semiclassical approach to intense-field above-threshold dissociation in the long wavelength limit

A semiclassical approach to intense-field above-threshold dissociation in the long wavelength limit

10.1063/1.472281

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A new semiclassical formalism has been developed to treat Hamiltonians having explicit time dependence, with particular application to the dissociation of diatomic ions in intense laser fields. Based on this formalism, a hopping algorithm is presented which specifies how classical trajectories should be moved between coupled electronic surfaces. The theory is laid out in a rigorous, general form and an analysis is also presented for the case where only two electronic surfaces are strongly coupled. In addition, valuable physical insight into the hopping process is obtained by considering the theory in a number of physically relevant limiting cases. From this insight a number of guidelines are proposed which detail the manner in which trajectory hopping should be implemented when time-dependent potential energy surfaces are present, including the effects of phase coherence and conservation principles.

Bibliography

Thachuk, M., Ivanov, M. Yu., & Wardlaw, D. M. (1996). A semiclassical approach to intense-field above-threshold dissociation in the long wavelength limit. The Journal of Chemical Physics, 105(10), 4094â4104.

Authors 3

Mark Thachuk (first)
M. Yu. Ivanov (additional)
David M. Wardlaw (additional)

References 50 Referenced 57

10.1103/PhysRevLett.64.1883 / Phys. Rev. Lett. (1990)
10.1103/PhysRevA.42.5500 / Phys. Rev. A (1990)
10.1063/1.441217 / J. Chem. Phys. (1981)
10.1016/0009-2614(78)85322-6 / Chem. Phys. Lett. (1978)
10.1063/1.462111 / J. Chem. Phys. (1992)
10.1103/PhysRevLett.64.515 / Phys. Rev. Lett. (1990)
10.1103/PhysRevLett.68.3869 / Phys. Rev. Lett. (1992)
10.1063/1.451474 / J. Chem. Phys. (1986)
10.1021/ar00168a001 / Acc. Chem. Res. (1989)
10.1063/1.464655 / J. Chem. Phys. (1993)
10.1063/1.458438 / J. Chem. Phys. (1990)
10.1063/1.469395 / J. Chem. Phys. (1995)
10.1063/1.456243 / J. Chem. Phys. (1989)
{'key': '2024021103480618300_r14'}
10.1021/j150615a004 / J. Phys. Chem. (1981)
10.1103/PhysRevA.36.4463 / Phys. Rev. A (1987)
10.1103/PhysRevA.37.1552 / Phys. Rev. A (1988)
10.1103/PhysRevA.38.5174 / Phys. Rev. A (1988)
{'key': '2024021103480618300_r19', 'first-page': '3966', 'volume': '43', 'year': '1992', 'journal-title': 'Phys. Rev. A'} / Phys. Rev. A (1992)
10.1063/1.462920 / J. Chem. Phys. (1992)
10.1103/PhysRevA.45.5512 / Phys. Rev. A (1992)
10.1103/PhysRevA.37.796 / Phys. Rev. A (1988)
10.1063/1.469058 / J. Chem. Phys. (1995)
10.1103/PhysRevLett.75.1292 / Phys. Rev. Lett. (1995)
10.1103/PhysRevA.41.6480 / Phys. Rev. A (1990)
10.1103/PhysRevLett.65.2355 / Phys. Rev. Lett. (1990)
10.1063/1.463006 / J. Chem. Phys. (1992)
10.1088/0953-4075/25/10/004 / J. Phys. B: At. Mol. Opt. Phys. (1992)
10.1088/0953-4075/27/16/022 / J. Phys. B: At. Mol. Opt. Phys. (1994)
10.1103/PhysRevA.51.R2695 / Phys. Rev. A (1995)
10.1016/0009-2614(95)01183-3 / Chem. Phys. Lett. (1995)
10.1103/PhysRevLett.75.2815 / Phys. Rev. Lett. (1995)
10.1103/PhysRevLett.71.692 / Phys. Rev. Lett. (1993)
10.1103/PhysRevA.52.2977 / Phys. Rev. A (1995)
10.1103/PhysRevA.52.R2511 / Phys. Rev. A (1995)
10.1103/PhysRevLett.75.2819 / Phys. Rev. Lett. (1995)
{'key': '2024021103480618300_r37'}
10.1103/PhysRevLett.62.1259 / Phys. Rev. Lett. (1989)
10.1103/PhysRevLett.71.1994 / Phys. Rev. Lett. (1993)
{'key': '2024021103480618300_r40'}
10.1063/1.459170 / J. Chem. Phys. (1990)
10.1063/1.467455 / J. Chem. Phys. (1994)
{'key': '2024021103480618300_r42'}
{'key': '2024021103480618300_r43', 'first-page': '2204', 'volume': '78', 'year': '1980', 'journal-title': 'Zh. Eksp. Teor. Fiz.'} / Zh. Eksp. Teor. Fiz. (1980)
{'key': '2024021103480618300_r43a', 'first-page': '1104', 'volume': '51', 'year': '1980', 'journal-title': 'Sov. Phys. JETP'} / Sov. Phys. JETP (1980)
{'key': '2024021103480618300_r44', 'first-page': '1131', 'volume': '88', 'year': '1985', 'journal-title': 'Zh. Eksp. Teor. Fiz.'} / Zh. Eksp. Teor. Fiz. (1985)
{'key': '2024021103480618300_r44a', 'first-page': '665', 'volume': '61', 'year': '1985', 'journal-title': 'Sov. Phys. JETP'} / Sov. Phys. JETP (1985)
{'key': '2024021103480618300_r45'}
{'key': '2024021103480618300_r46'}
{'key': '2024021103480618300_r47'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:15 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 10:48 p.m.)
Indexed	1 year ago (Aug. 1, 2024, 5:10 a.m.)
Issued	28 years, 11 months ago (Sept. 8, 1996)
Published	28 years, 11 months ago (Sept. 8, 1996)
Published Print	28 years, 11 months ago (Sept. 8, 1996)

Funders 0

None

BibTeX

@article{Thachuk_1996, title={A semiclassical approach to intense-field above-threshold dissociation in the long wavelength limit}, volume={105}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.472281}, DOI={10.1063/1.472281}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Thachuk, Mark and Ivanov, M. Yu. and Wardlaw, David M.}, year={1996}, month=sep, pages={4094–4104} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        8,
        1
      ]
    ],
    "date-time": "2024-08-01T09:10:55Z",
    "timestamp": 1722503455976
  },
  "reference-count": 50,
  "publisher": "AIP Publishing",
  "issue": "10",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1996,
        9,
        8
      ]
    ]
  },
  "abstract": "<jats:p>A new semiclassical formalism has been developed to treat Hamiltonians having explicit time dependence, with particular application to the dissociation of diatomic ions in intense laser fields. Based on this formalism, a hopping algorithm is presented which specifies how classical trajectories should be moved between coupled electronic surfaces. The theory is laid out in a rigorous, general form and an analysis is also presented for the case where only two electronic surfaces are strongly coupled. In addition, valuable physical insight into the hopping process is obtained by considering the theory in a number of physically relevant limiting cases. From this insight a number of guidelines are proposed which detail the manner in which trajectory hopping should be implemented when time-dependent potential energy surfaces are present, including the effects of phase coherence and conservation principles.</jats:p>",
  "DOI": "10.1063/1.472281",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T12:15:21Z",
    "timestamp": 1027685721000
  },
  "page": "4094-4104",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 57,
  "title": "A semiclassical approach to intense-field above-threshold dissociation in the long wavelength limit",
  "prefix": "10.1063",
  "volume": "105",
  "author": [
    {
      "given": "Mark",
      "family": "Thachuk",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Chemistry, Queen's University, Kingston, Ontario K7L 3N6, Canada"
        }
      ]
    },
    {
      "given": "M. Yu.",
      "family": "Ivanov",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Steacie Institute for Molecular Sciences, M-23A, National Research Council of Canada, Ottawa, Ontario K1A 0R6, Canada"
        }
      ]
    },
    {
      "given": "David M.",
      "family": "Wardlaw",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Chemistry, Queen's University, Kingston, Ontario K7L 3N6, Canada"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021103480618300_r1",
      "doi-asserted-by": "crossref",
      "first-page": "1883",
      "DOI": "10.1103/PhysRevLett.64.1883",
      "volume": "64",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r2",
      "doi-asserted-by": "crossref",
      "first-page": "5500",
      "DOI": "10.1103/PhysRevA.42.5500",
      "volume": "42",
      "year": "1990",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r3",
      "doi-asserted-by": "crossref",
      "first-page": "1110",
      "DOI": "10.1063/1.441217",
      "volume": "74",
      "year": "1981",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r4",
      "doi-asserted-by": "crossref",
      "first-page": "569",
      "DOI": "10.1016/0009-2614(78)85322-6",
      "volume": "57",
      "year": "1978",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024021103480618300_r5",
      "doi-asserted-by": "crossref",
      "first-page": "903",
      "DOI": "10.1063/1.462111",
      "volume": "96",
      "year": "1992",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r6",
      "doi-asserted-by": "crossref",
      "first-page": "515",
      "DOI": "10.1103/PhysRevLett.64.515",
      "volume": "64",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r7",
      "doi-asserted-by": "crossref",
      "first-page": "3869",
      "DOI": "10.1103/PhysRevLett.68.3869",
      "volume": "68",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r8",
      "doi-asserted-by": "crossref",
      "first-page": "6449",
      "DOI": "10.1063/1.451474",
      "volume": "85",
      "year": "1986",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r9",
      "doi-asserted-by": "crossref",
      "first-page": "407",
      "DOI": "10.1021/ar00168a001",
      "volume": "22",
      "year": "1989",
      "journal-title": "Acc. Chem. Res."
    },
    {
      "key": "2024021103480618300_r10",
      "doi-asserted-by": "crossref",
      "first-page": "201",
      "DOI": "10.1063/1.464655",
      "volume": "98",
      "year": "1993",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r11",
      "doi-asserted-by": "crossref",
      "first-page": "364",
      "DOI": "10.1063/1.458438",
      "volume": "92",
      "year": "1990",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r12",
      "doi-asserted-by": "crossref",
      "first-page": "226",
      "DOI": "10.1063/1.469395",
      "volume": "102",
      "year": "1995",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r13",
      "doi-asserted-by": "crossref",
      "first-page": "7132",
      "DOI": "10.1063/1.456243",
      "volume": "90",
      "year": "1989",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r14"
    },
    {
      "key": "2024021103480618300_r15",
      "doi-asserted-by": "crossref",
      "first-page": "2159",
      "DOI": "10.1021/j150615a004",
      "volume": "85",
      "year": "1981",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "2024021103480618300_r16",
      "doi-asserted-by": "crossref",
      "first-page": "4463",
      "DOI": "10.1103/PhysRevA.36.4463",
      "volume": "36",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r17",
      "doi-asserted-by": "crossref",
      "first-page": "1552",
      "DOI": "10.1103/PhysRevA.37.1552",
      "volume": "37",
      "year": "1988",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r18",
      "doi-asserted-by": "crossref",
      "first-page": "5174",
      "DOI": "10.1103/PhysRevA.38.5174",
      "volume": "38",
      "year": "1988",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r19",
      "first-page": "3966",
      "volume": "43",
      "year": "1992",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r20",
      "doi-asserted-by": "crossref",
      "first-page": "3865",
      "DOI": "10.1063/1.462920",
      "volume": "97",
      "year": "1992",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r21",
      "doi-asserted-by": "crossref",
      "first-page": "5512",
      "DOI": "10.1103/PhysRevA.45.5512",
      "volume": "45",
      "year": "1992",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r22",
      "doi-asserted-by": "crossref",
      "first-page": "796",
      "DOI": "10.1103/PhysRevA.37.796",
      "volume": "37",
      "year": "1988",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r23",
      "doi-asserted-by": "crossref",
      "first-page": "7462",
      "DOI": "10.1063/1.469058",
      "volume": "102",
      "year": "1995",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r24",
      "doi-asserted-by": "crossref",
      "first-page": "1292",
      "DOI": "10.1103/PhysRevLett.75.1292",
      "volume": "75",
      "year": "1995",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r25",
      "doi-asserted-by": "crossref",
      "first-page": "6480",
      "DOI": "10.1103/PhysRevA.41.6480",
      "volume": "41",
      "year": "1990",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r26",
      "doi-asserted-by": "crossref",
      "first-page": "2355",
      "DOI": "10.1103/PhysRevLett.65.2355",
      "volume": "65",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r27",
      "doi-asserted-by": "crossref",
      "first-page": "3187",
      "DOI": "10.1063/1.463006",
      "volume": "97",
      "year": "1992",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r28",
      "doi-asserted-by": "crossref",
      "first-page": "L249",
      "DOI": "10.1088/0953-4075/25/10/004",
      "volume": "25",
      "year": "1992",
      "journal-title": "J. Phys. B: At. Mol. Opt. Phys."
    },
    {
      "key": "2024021103480618300_r29",
      "doi-asserted-by": "crossref",
      "first-page": "3767",
      "DOI": "10.1088/0953-4075/27/16/022",
      "volume": "27",
      "year": "1994",
      "journal-title": "J. Phys. B: At. Mol. Opt. Phys."
    },
    {
      "key": "2024021103480618300_r30",
      "doi-asserted-by": "crossref",
      "first-page": "R2695",
      "DOI": "10.1103/PhysRevA.51.R2695",
      "volume": "51",
      "year": "1995",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r31",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1016/0009-2614(95)01183-3",
      "volume": "247",
      "year": "1995",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024021103480618300_r32",
      "doi-asserted-by": "crossref",
      "first-page": "2815",
      "DOI": "10.1103/PhysRevLett.75.2815",
      "volume": "75",
      "year": "1995",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r33",
      "doi-asserted-by": "crossref",
      "first-page": "692",
      "DOI": "10.1103/PhysRevLett.71.692",
      "volume": "71",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r34",
      "doi-asserted-by": "crossref",
      "first-page": "2977",
      "DOI": "10.1103/PhysRevA.52.2977",
      "volume": "52",
      "year": "1995",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r35",
      "doi-asserted-by": "crossref",
      "first-page": "R2511",
      "DOI": "10.1103/PhysRevA.52.R2511",
      "volume": "52",
      "year": "1995",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021103480618300_r36",
      "doi-asserted-by": "crossref",
      "first-page": "2819",
      "DOI": "10.1103/PhysRevLett.75.2819",
      "volume": "75",
      "year": "1995",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r37"
    },
    {
      "key": "2024021103480618300_r38",
      "doi-asserted-by": "crossref",
      "first-page": "1259",
      "DOI": "10.1103/PhysRevLett.62.1259",
      "volume": "62",
      "year": "1989",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r39",
      "doi-asserted-by": "crossref",
      "first-page": "1994",
      "DOI": "10.1103/PhysRevLett.71.1994",
      "volume": "71",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021103480618300_r40"
    },
    {
      "key": "2024021103480618300_r41",
      "doi-asserted-by": "crossref",
      "first-page": "1061",
      "DOI": "10.1063/1.459170",
      "volume": "93",
      "year": "1990",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r41a",
      "doi-asserted-by": "crossref",
      "first-page": "4657",
      "DOI": "10.1063/1.467455",
      "volume": "101",
      "year": "1994",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021103480618300_r42"
    },
    {
      "key": "2024021103480618300_r43",
      "first-page": "2204",
      "volume": "78",
      "year": "1980",
      "journal-title": "Zh. Eksp. Teor. Fiz."
    },
    {
      "key": "2024021103480618300_r43a",
      "first-page": "1104",
      "volume": "51",
      "year": "1980",
      "journal-title": "Sov. Phys. JETP"
    },
    {
      "key": "2024021103480618300_r44",
      "first-page": "1131",
      "volume": "88",
      "year": "1985",
      "journal-title": "Zh. Eksp. Teor. Fiz."
    },
    {
      "key": "2024021103480618300_r44a",
      "first-page": "665",
      "volume": "61",
      "year": "1985",
      "journal-title": "Sov. Phys. JETP"
    },
    {
      "key": "2024021103480618300_r45"
    },
    {
      "key": "2024021103480618300_r46"
    },
    {
      "key": "2024021103480618300_r47"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/105/10/4094/19063607/4094_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/105/10/4094/19063607/4094_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        11
      ]
    ],
    "date-time": "2024-02-11T03:48:28Z",
    "timestamp": 1707623308000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/105/10/4094/181707/A-semiclassical-approach-to-intense-field-above"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1996,
        9,
        8
      ]
    ]
  },
  "references-count": 50,
  "journal-issue": {
    "issue": "10",
    "published-print": {
      "date-parts": [
        [
          1996,
          9,
          8
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.472281",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1996,
        9,
        8
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1996,
        9,
        8
      ]
    ]
  }
}