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Volumn 47, Issue 7, 2006, Pages

Phase space quantization and the operator moment problem

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EID: 33746781659     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2211931     Document Type: Article
Times cited : (17)

References (41)
  • 6
    • 0142073330 scopus 로고    scopus 로고
    • Positive operator valued measures covariant with respect to an irreducible representation
    • Cassinelli, G., De Vito, E., and Toigo, A., "Positive operator valued measures covariant with respect to an irreducible representation," J. Math. Phys. 44, 4768-4775 (2003).
    • (2003) J. Math. Phys. , vol.44 , pp. 4768-4775
    • Cassinelli, G.1    De Vito, E.2    Toigo, A.3
  • 12
    • 0034135025 scopus 로고    scopus 로고
    • Positive operator measures determined by their moment sequences
    • Dvurecenskij, A., Lahti, P., and Ylinen, K., "Positive operator measures determined by their moment sequences," Rep. Math. Phys. 45, 139-146 (2000).
    • (2000) Rep. Math. Phys. , vol.45 , pp. 139-146
    • Dvurecenskij, A.1    Lahti, P.2    Ylinen, K.3
  • 13
    • 0345373913 scopus 로고    scopus 로고
    • The uniqueness question in the multidimensional moment problem with applications to phase space observables
    • Dvurecenskij, A., Lahti, P., and Ylinen, K., "The uniqueness question in the multidimensional moment problem with applications to phase space observables," Rep. Math. Phys. 50, 55-68 (2002).
    • (2002) Rep. Math. Phys. , vol.50 , pp. 55-68
    • Dvurecenskij, A.1    Lahti, P.2    Ylinen, K.3
  • 14
    • 0001091958 scopus 로고
    • Intrinsic and operational observables in quantum mechanics
    • Englert, B.-G. and Wódkiewicz, K., "Intrinsic and operational observables in quantum mechanics," Phys. Rev. A 51, R2661-R2664 (1995).
    • (1995) Phys. Rev. A , vol.51
    • Englert, B.-G.1    Wódkiewicz, K.2
  • 17
    • 0347081103 scopus 로고
    • Institute of Physics, Nicholas Copernicus University, Poland, preprint No 275
    • Ingarden, R. S., Information Theory and Thermodynamics (Institute of Physics, Nicholas Copernicus University, Poland, 1974), preprint No 275.
    • (1974) Information Theory and Thermodynamics
    • Ingarden, R.S.1
  • 18
    • 17444387810 scopus 로고    scopus 로고
    • Moment operators of the Cartesian margins of the phase space observables
    • Kiukas, J., Lahti, P., and Ylinen, K., "Moment operators of the Cartesian margins of the phase space observables," J. Math. Phys. 46, 042107 (2005).
    • (2005) J. Math. Phys. , vol.46 , pp. 042107
    • Kiukas, J.1    Lahti, P.2    Ylinen, K.3
  • 19
    • 33645993567 scopus 로고    scopus 로고
    • Normal covariant quantization maps
    • Kiukas, J., Lahti, P., and Ylinen, K., "Normal covariant quantization maps," J. Math. Anal. Appl. 319, 783-801 (2006).
    • (2006) J. Math. Anal. Appl. , vol.319 , pp. 783-801
    • Kiukas, J.1    Lahti, P.2    Ylinen, K.3
  • 21
    • 33746786203 scopus 로고
    • Compatibility of observables represented by positive operator-valued measures
    • Kruszyński, P. and de Muynck, W. M., "Compatibility of observables represented by positive operator-valued measures," J. Math. Phys. 28, 1761-1763 (1987).
    • (1987) J. Math. Phys. , vol.28 , pp. 1761-1763
    • Kruszyński, P.1    De Muynck, W.M.2
  • 22
    • 0032092375 scopus 로고    scopus 로고
    • The moment operators of phase space observables and their number margins
    • Lahti, P., Maczyński, M., and Ylinen, K., "The moment operators of phase space observables and their number margins," Rep. Math. Phys. 41, 319-331 (1998).
    • (1998) Rep. Math. Phys. , vol.41 , pp. 319-331
    • Lahti, P.1    Maczyński, M.2    Ylinen, K.3
  • 23
    • 0033240826 scopus 로고    scopus 로고
    • Covariant phase observables in quantum mechanics
    • Lahti, P. and Pellonpää, J.-P., "Covariant phase observables in quantum mechanics," J. Math. Phys. 40, 4688-4698 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 4688-4698
    • Lahti, P.1    Pellonpää, J.-P.2
  • 24
    • 0033239789 scopus 로고    scopus 로고
    • Operator integrals and phase space observables
    • Lahti, P., Pellonpää, J.-P., and Ylinen, K., "Operator integrals and phase space observables," J. Math. Phys. 40, 2181-2189 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 2181-2189
    • Lahti, P.1    Pellonpää, J.-P.2    Ylinen, K.3
  • 25
  • 26
    • 0031161429 scopus 로고    scopus 로고
    • Coexistent observables and effects in quantum mechanics
    • Lahti, P. and Pulmannová, S., "Coexistent observables and effects in quantum mechanics," Rep. Math. Phys. 39, 339-351 (1997).
    • (1997) Rep. Math. Phys. , vol.39 , pp. 339-351
    • Lahti, P.1    Pulmannová, S.2
  • 27
    • 33644476704 scopus 로고    scopus 로고
    • Dilations of positive operator measures and bimeasures related to quantum mechanics
    • Lahti, P. and Ylinen, K., "Dilations of positive operator measures and bimeasures related to quantum mechanics," Math. Slovaca 54, 69-189 (2004).
    • (2004) Math. Slovaca , vol.54 , pp. 69-189
    • Lahti, P.1    Ylinen, K.2
  • 30
    • 84972491738 scopus 로고
    • The spectra of minimal self-adjoint extensions of a symmetric operator
    • McKelvey, R., "The spectra of minimal self-adjoint extensions of a symmetric operator," Pac. J. Math. 12, 1003-1022 (1962).
    • (1962) Pac. J. Math. , vol.12 , pp. 1003-1022
    • McKelvey, R.1
  • 34
    • 0034348885 scopus 로고    scopus 로고
    • Subnormality in the quantum harmonic oscillator
    • Szafraniec, F. H., "Subnormality in the quantum harmonic oscillator," Commun. Math. Phys. 210, 323-334 (2000).
    • (2000) Commun. Math. Phys. , vol.210 , pp. 323-334
    • Szafraniec, F.H.1
  • 36
    • 0000100794 scopus 로고
    • An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
    • Voros, A., "An algebra of pseudodifferential operators and the asymptotics of quantum mechanics," J. Funct. Anal. 29, 104-132 (1978).
    • (1978) J. Funct. Anal. , vol.29 , pp. 104-132
    • Voros, A.1
  • 37
    • 21844486417 scopus 로고
    • Observables, maximal symmetric operators and POV measures in quantum mechanics
    • Wan, K. K., Fountain, R. H., and Tao, Z. Y., "Observables, maximal symmetric operators and POV measures in quantum mechanics," J. Phys. A 28, 2379-2393 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 2379-2393
    • Wan, K.K.1    Fountain, R.H.2    Tao, Z.Y.3
  • 38
    • 0000497796 scopus 로고
    • Quantum harmonic analysis on phase space
    • Werner, R., "Quantum harmonic analysis on phase space," J. Math. Phys. 25, 1404-1411 (1984).
    • (1984) J. Math. Phys. , vol.25 , pp. 1404-1411
    • Werner, R.1
  • 39
    • 0001207084 scopus 로고
    • Screen observables in relativistic and nonrelativistic quantum mechanics
    • Werner, R., "Screen observables in relativistic and nonrelativistic quantum mechanics," J. Math. Phys. 27, 793-803 (1986).
    • (1986) J. Math. Phys. , vol.27 , pp. 793-803
    • Werner, R.1
  • 41
    • 0039225232 scopus 로고
    • On vector bimeasures
    • Ylinen, K., "On vector bimeasures," Ann. Mat. Pura Appl. 117, 115-138 (1978).
    • (1978) Ann. Mat. Pura Appl. , vol.117 , pp. 115-138
    • Ylinen, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.