메뉴 건너뛰기




Volumn 66, Issue 5, 1998, Pages 431-438

Extending the quantal adiabatic theorem: Geometry of noncyclic motion

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347131238     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18799     Document Type: Article
Times cited : (51)

References (40)
  • 1
    • 34250915197 scopus 로고
    • Beweis des Adiabatensatzes
    • M. Born and V. Fock, "Beweis des Adiabatensatzes," Z. Phys. 51, 165-180 (1928).
    • (1928) Z. Phys. , vol.51 , pp. 165-180
    • Born, M.1    Fock, V.2
  • 2
    • 84880630343 scopus 로고
    • Adiabatische Invarianten und Quantentheorie
    • P. Ehrenfest, "Adiabatische Invarianten und Quantentheorie," Ann. Phys. 51, 327-352 (1916).
    • (1916) Ann. Phys. , vol.51 , pp. 327-352
    • Ehrenfest, P.1
  • 3
    • 0002207807 scopus 로고
    • Quantal phase factors accompanying adiabatic changes
    • M. V. Berry, "Quantal phase factors accompanying adiabatic changes," Proc. R. Soc. London, Ser. A 392, 45-57 (1984).
    • (1984) Proc. R. Soc. London, Ser. A , vol.392 , pp. 45-57
    • Berry, M.V.1
  • 4
    • 0003864761 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, NJ, 1951), pp. 496-507.
    • (1951) Quantum Theory , pp. 496-507
    • Bohm, D.1
  • 5
    • 0009154227 scopus 로고
    • North-Holland, Amsterdam
    • A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962), Vol. 2, pp. 744-755.
    • (1962) Quantum Mechanics , vol.2 , pp. 744-755
    • Messiah, A.1
  • 6
    • 0003758310 scopus 로고
    • McGraw-Hill, New York, 3rd ed.
    • L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968), 3rd ed. pp. 289-290.
    • (1968) Quantum Mechanics , pp. 289-290
    • Schiff, L.I.1
  • 7
    • 30244508244 scopus 로고
    • Phase change during a cyclic quantum evolution
    • Y. Aharonov and J. Anandan, "Phase change during a cyclic quantum evolution," Phys. Rev. Lett. 58, 1593-1596 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1593-1596
    • Aharonov, Y.1    Anandan, J.2
  • 8
    • 4244096740 scopus 로고
    • General setting for Berry's phase
    • J. Samuel and R. Bhandari, "General setting for Berry's phase," Phys. Rev. Lett. 60, 2339-2342 (1988).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2339-2342
    • Samuel, J.1    Bhandari, R.2
  • 10
    • 0012641307 scopus 로고
    • Quantum kinematic approach to the geometric phase. I. General formalism
    • NY
    • N. Mukunda and R. Simon, "Quantum kinematic approach to the geometric phase. I. General formalism," Ann. Phys. (NY) 228, 205-268 (1993).
    • (1993) Ann. Phys. , vol.228 , pp. 205-268
    • Mukunda, N.1    Simon, R.2
  • 11
    • 0002184904 scopus 로고
    • Berry's topological phase in quantum mechanics and quantum field theory
    • I. J. R. Aitchison, "Berry's topological phase in quantum mechanics and quantum field theory," Phys. Ser. T23, 12-20 (1988).
    • (1988) Phys. Ser. , vol.T23 , pp. 12-20
    • Aitchison, I.J.R.1
  • 12
    • 0039304324 scopus 로고
    • Berry's phase - Topological ideas from atomic, molecular and optical physics
    • R. Jackiw, "Berry's phase - topological ideas from atomic, molecular and optical physics," Comments At. Mol. Phys. 21, 71-82 (1988).
    • (1988) Comments At. Mol. Phys. , vol.21 , pp. 71-82
    • Jackiw, R.1
  • 13
    • 0001283873 scopus 로고
    • Quantum holonomy and the chiral gauge anomaly
    • A. J. Niemi and G. W. Semenoff, "Quantum holonomy and the chiral gauge anomaly," Phys. Rev. Lett. 55, 927-930 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 927-930
    • Niemi, A.J.1    Semenoff, G.W.2
  • 14
    • 0003930334 scopus 로고
    • Springer-Verlag, Berlin, 3rd ed.
    • A. Bohm, Quantum Mechanics (Springer-Verlag, Berlin, 1993), 3rd ed., p. 572.
    • (1993) Quantum Mechanics , pp. 572
    • Bohm, A.1
  • 15
    • 0003147236 scopus 로고
    • Quantum phase corrections from adiabatic iteration
    • M. V. Berry, "Quantum phase corrections from adiabatic iteration," Proc. R. Soc. London, Ser. A 414, 31-46 (1987).
    • (1987) Proc. R. Soc. London, Ser. A , vol.414 , pp. 31-46
    • Berry, M.V.1
  • 17
    • 4243484763 scopus 로고    scopus 로고
    • Galilean noninvariance of geometric phase
    • E. Sjöqvist, H. R. Brown, and H. Carlsen, "Galilean noninvariance of geometric phase," Phys. Lett. A 229, 273-278 (1997).
    • (1997) Phys. Lett. A , vol.229 , pp. 273-278
    • Sjöqvist, E.1    Brown, H.R.2    Carlsen, H.3
  • 18
    • 0040569024 scopus 로고    scopus 로고
    • Galilean invariant structure of geometric phase
    • G. Garcia de Polavieja, "Galilean invariant structure of geometric phase," Phys. Lett. A 232, 1-3 (1997).
    • (1997) Phys. Lett. A , vol.232 , pp. 1-3
    • De Garcia Polavieja, G.1
  • 19
    • 0001345770 scopus 로고
    • Holonomy, the quantum adiabatic theorem, and Berry's phase
    • B. Simon, "Holonomy, the quantum adiabatic theorem, and Berry's phase," Phys. Rev. Lett. 51, 2167 (1983).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 2167
    • Simon, B.1
  • 20
    • 0000043007 scopus 로고
    • Observable effects of the quantum adiabatic phase for noncyclic evolution
    • Y.-S. Wu and H.-Z. Li, "Observable effects of the quantum adiabatic phase for noncyclic evolution," Phys. Rev. B 38, 11907-11910 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 11907-11910
    • Wu, Y.-S.1    Li, H.-Z.2
  • 21
    • 21344481094 scopus 로고
    • Non-cyclic geometric phase in a proposed two-photon interferometric experiment
    • J. Christian and A. Shimony, "Non-cyclic geometric phase in a proposed two-photon interferometric experiment," J. Phys. A 26, 5551-5567 (1993).
    • (1993) J. Phys. A , vol.26 , pp. 5551-5567
    • Christian, J.1    Shimony, A.2
  • 23
    • 0002532117 scopus 로고
    • Intersection of potential energy surfaces in polyatomic molecules
    • G. Herzberg and H. C. Longuet-Higgins, "Intersection of potential energy surfaces in polyatomic molecules," Faraday Soc. Discuss. 35, 77-82 (1963).
    • (1963) Faraday Soc. Discuss. , vol.35 , pp. 77-82
    • Herzberg, G.1    Longuet-Higgins, H.C.2
  • 25
    • 36749117127 scopus 로고
    • On the determination of Born-Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei
    • C. A. Mead and D. G. Truhlar, "On the determination of Born-Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei," J. Chem. Phys. 70, 2284-2296 (1979).
    • (1979) J. Chem. Phys. , vol.70 , pp. 2284-2296
    • Mead, C.A.1    Truhlar, D.G.2
  • 26
    • 0002328617 scopus 로고
    • The geometric phase in molecular systems
    • C. A. Mead, "The geometric phase in molecular systems," Rev. Mod. Phys. 64, 51-85 (1992).
    • (1992) Rev. Mod. Phys. , vol.64 , pp. 51-85
    • Mead, C.A.1
  • 27
    • 33748067017 scopus 로고
    • Significance of electromagnetic potentials in the quantum theory
    • Y. Aharonov and D. Bohm, "Significance of electromagnetic potentials in the quantum theory," Phys. Rev. 115, 485-491 (1959).
    • (1959) Phys. Rev. , vol.115 , pp. 485-491
    • Aharonov, Y.1    Bohm, D.2
  • 28
    • 0003570366 scopus 로고
    • Addison-Wesley, Reading, MA, revised ed.
    • J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994), revised ed., pp. 472-473.
    • (1994) Modern Quantum Mechanics , pp. 472-473
    • Sakurai, J.J.1
  • 29
    • 33744618976 scopus 로고
    • Berry phase, Aharonov-Bohm effect and topology
    • D. H. Kobe, "Berry phase, Aharonov-Bohm effect and topology," J. Phys. A 24, 3551-3555 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 3551-3555
    • Kobe, D.H.1
  • 30
    • 0011609434 scopus 로고
    • Aharonov-Bohm effect on nearly-localized quantum states
    • Y. Nagoshi and S. Takagi, "Aharonov-Bohm effect on nearly-localized quantum states," J. Phys. A 24, 4093-4108 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 4093-4108
    • Nagoshi, Y.1    Takagi, S.2
  • 33
    • 33744650426 scopus 로고
    • The Aharonov-Bohm effect and variants
    • B. R. Holstein, "The Aharonov-Bohm effect and variants," Contemp. Phys. 30, 93-102 (1995).
    • (1995) Contemp. Phys. , vol.30 , pp. 93-102
    • Holstein, B.R.1
  • 34
    • 0000979049 scopus 로고
    • Manifestation of Berry's topological phase in neutron spin rotation
    • T. Bitter and D. Dubbers, "Manifestation of Berry's topological phase in neutron spin rotation," Phys. Rev. Lett. 59, 251-254 (1987).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 251-254
    • Bitter, T.1    Dubbers, D.2
  • 35
    • 0000363156 scopus 로고
    • Observation of a nonclassical Berry's phase for a photon
    • P. G. Kwiat and R. Y. Chiao, "Observation of a nonclassical Berry's phase for a photon," Phys. Rev. Lett. 66, 588-591 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 588-591
    • Kwiat, P.G.1    Chiao, R.Y.2
  • 36
    • 4243222841 scopus 로고
    • Measurement of Berry's phase for non-cyclic evolution
    • H. Weinfurter and G. Badurek, "Measurement of Berry's phase for non-cyclic evolution," Phys. Rev. Lett. 64, 1318-1321 (1990).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1318-1321
    • Weinfurter, H.1    Badurek, G.2
  • 37
    • 6244242300 scopus 로고
    • On measuring the Pancharatnam phase. II. SU(2) polarimetry
    • A. G. Wagh and V. C. Rakhecha, "On measuring the Pancharatnam phase. II. SU(2) polarimetry," Phys. Lett. A 197, 112-115 (1995).
    • (1995) Phys. Lett. A , vol.197 , pp. 112-115
    • Wagh, A.G.1    Rakhecha, V.C.2
  • 38
    • 0000907933 scopus 로고
    • On measuring the Pancharatnam phase. I. Interferometry
    • A. G. Wagh and V. C. Rakhecha, "On measuring the Pancharatnam phase. I. Interferometry," Phys. Lett. A 197, 107-111 (1995).
    • (1995) Phys. Lett. A , vol.197 , pp. 107-111
    • Wagh, A.G.1    Rakhecha, V.C.2
  • 39
    • 0038562509 scopus 로고
    • Generalized theory of interference and its applications
    • S. Pancharatnam, "Generalized theory of interference and its applications," Proc. Ind. Acad. Sci. A 44, 247-262 (1956).
    • (1956) Proc. Ind. Acad. Sci. A , vol.44 , pp. 247-262
    • Pancharatnam, S.1
  • 40
    • 0002360913 scopus 로고
    • The quantum phase, five years after
    • edited by A. Shapere and F. Wilczek (World Scientific, Singapore)
    • M. V. Berry, "The quantum phase, five years after," in Geometric Phases in Physics, edited by A. Shapere and F. Wilczek (World Scientific, Singapore, 1989), pp. 1-28.
    • (1989) Geometric Phases in Physics , pp. 1-28
    • Berry, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.