-
1
-
-
0000100137
-
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field
-
H. Araki, A lattice of von Neumann algebras associated with the quantum theory of a free Bose field, J. Math. Phys. 4, 1343-1362 (1963).
-
(1963)
J. Math. Phys.
, vol.4
, pp. 1343-1362
-
-
Araki, H.1
-
2
-
-
85011222636
-
On quasi-equivalence of quasifree states of the canonical commutation relations
-
Kyoto Univ.
-
H. Araki and S. Yamagami, On quasi-equivalence of quasifree states of the canonical commutation relations, Publ. RIMS, Kyoto Univ. 18, 283-338 (1982).
-
(1982)
Publ. RIMS
, vol.18
, pp. 283-338
-
-
Araki, H.1
Yamagami, S.2
-
4
-
-
84972570335
-
Characterization of pseudodifferential operators and applications
-
R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44, 45-57 (1977) and 46, 215 (1979).
-
(1977)
Duke Math. J.
, vol.44
, pp. 45-57
-
-
Beals, R.1
-
5
-
-
84972550337
-
-
R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44, 45-57 (1977) and 46, 215 (1979).
-
(1979)
Duke Math. J.
, vol.46
, pp. 215
-
-
-
8
-
-
0034348733
-
Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
-
R. Brunetti and K. Fredenhagen, Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds, Comm. Math. Phys. 208, 623-661 (2000).
-
(2000)
Comm. Math. Phys.
, vol.208
, pp. 623-661
-
-
Brunetti, R.1
Fredenhagen, K.2
-
9
-
-
0000474431
-
The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
-
R. Brunetti, K. Fredenhagen, and M. Köhler, The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes, Comm. Math. Phys. 180, 633-652 (1996).
-
(1996)
Comm. Math. Phys.
, vol.180
, pp. 633-652
-
-
Brunetti, R.1
Fredenhagen, K.2
Köhler, M.3
-
10
-
-
49549162581
-
Essential self-adjointness of powers of generators of hyperbolic equations
-
P.R. Chernoff, Essential self-adjointness of powers of generators of hyperbolic equations, J. Funct. Anal. 12, 401-414 (1973).
-
(1973)
J. Funct. Anal.
, vol.12
, pp. 401-414
-
-
Chernoff, P.R.1
-
12
-
-
0000282394
-
Radiation damping in a gravitational field
-
B.S. DeWitt and R.W. Brehme, Radiation damping in a gravitational field, Ann. Phys. (NY) 9, 220-259 (1960).
-
(1960)
Ann. Phys. (NY)
, vol.9
, pp. 220-259
-
-
DeWitt, B.S.1
Brehme, R.W.2
-
14
-
-
0000004551
-
Algebras of local observables on a manifold
-
J. Dimock, Algebras of local observables on a manifold, Comm. Math. Phys. 77, 219-228 (1980).
-
(1980)
Comm. Math. Phys.
, vol.77
, pp. 219-228
-
-
Dimock, J.1
-
17
-
-
0001359817
-
Fourier integral operators II
-
J.J. Duistermaat and L. Hörmander, Fourier integral operators II. Acta Math. 128, 183-269 (1972).
-
(1972)
Acta Math.
, vol.128
, pp. 183-269
-
-
Duistermaat, J.J.1
Hörmander, L.2
-
18
-
-
0034337728
-
A general worldline quantum inequality
-
Ch.J. Fewster, A general worldline quantum inequality, Class. Quant. Grav. 17, 1897-1911 (2000).
-
(2000)
Class. Quant. Grav.
, vol.17
, pp. 1897-1911
-
-
Fewster, Ch.J.1
-
20
-
-
0142052067
-
Singularity structure of the two-point function in quantum field theory in curved spacetime, II
-
S.A. Fulling, F.J. Narcowich, and R.M. Wald, Singularity structure of the two-point function in quantum field theory in curved spacetime, II, Ann. Phys. (NY) 136, 243-272 (1981).
-
(1981)
Ann. Phys. (NY)
, vol.136
, pp. 243-272
-
-
Fulling, S.A.1
Narcowich, F.J.2
Wald, R.M.3
-
21
-
-
0012543715
-
Singularities in linear wave propagation
-
Springer Verlag, Berlin
-
L. Gårding, Singularities in Linear Wave Propagation. Lecture Notes in Mathematics 1241. Springer Verlag, Berlin, 1987.
-
(1987)
Lecture Notes in Mathematics
, vol.1241
-
-
Gårding, L.1
-
22
-
-
0003967625
-
-
Springer Verlag, Berlin, 2nd edition
-
R. Haag, Local Quantum Physics: Fields, Particles, Algebras. Springer Verlag, Berlin, 2nd edition, 1996.
-
(1996)
Local Quantum Physics: Fields, Particles, Algebras
-
-
Haag, R.1
-
23
-
-
6144286355
-
An algebraic approach to quantum field theory
-
R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys. 5, 848-861 (1964).
-
(1964)
J. Math. Phys.
, vol.5
, pp. 848-861
-
-
Haag, R.1
Kastler, D.2
-
24
-
-
0001740135
-
On quantum field theory in gravitational background
-
R. Haag, H. Narnhofer, and U. Stein, On quantum field theory in gravitational background, Comm. Math. Phys. 94, 219-238 (1984).
-
(1984)
Comm. Math. Phys.
, vol.94
, pp. 219-238
-
-
Haag, R.1
Narnhofer, H.2
Stein, U.3
-
25
-
-
0035529590
-
The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes
-
S. Hollands, The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes, Comm. Math. Phys. 216, 635-661 (2001).
-
(2001)
Comm. Math. Phys.
, vol.216
, pp. 635-661
-
-
Hollands, S.1
-
27
-
-
0002820858
-
Fourier integral operators I
-
L. Hörmander, Fourier integral operators I. Acta Math. 127, 79-183 (1971).
-
(1971)
Acta Math.
, vol.127
, pp. 79-183
-
-
Hörmander, L.1
-
31
-
-
0003216788
-
Lectures on nonlinear hyperbolic differential equations
-
Springer Verlag, Berlin
-
L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations. Mathématiques & Applications 26. Springer Verlag, Berlin, 1997.
-
(1997)
Mathématiques & Applications
, vol.26
-
-
Hörmander, L.1
-
32
-
-
0030292896
-
Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime
-
W. Junker, Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime. Rev. Math. Phys 8, 1091-1159 (1996) and 14, 511-517 (2002).
-
(1996)
Rev. Math. Phys
, vol.8
, pp. 1091-1159
-
-
Junker, W.1
-
33
-
-
0036340763
-
-
W. Junker, Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime. Rev. Math. Phys 8, 1091-1159 (1996) and 14, 511-517 (2002).
-
(2002)
Rev. Math. Phys
, vol.14
, pp. 511-517
-
-
-
34
-
-
0002856008
-
Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
-
B.S. Kay and R.M. Wald, Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon. Phys. Rep. 207, 49-136 (1991).
-
(1991)
Phys. Rep.
, vol.207
, pp. 49-136
-
-
Kay, B.S.1
Wald, R.M.2
-
36
-
-
0003797807
-
-
Preprint, Marseille
-
P. Leyland, J. Roberts, and D. Testard, Duality for quantum free fields, Preprint, Marseille, 1978.
-
(1978)
Duality for Quantum Free Fields
-
-
Leyland, P.1
Roberts, J.2
Testard, D.3
-
37
-
-
0001811592
-
Local quasiequivalence and adiabatic vacuum states
-
C. Lüders and J.E. Roberts, Local quasiequivalence and adiabatic vacuum states, Comm. Math. Phys. 134, 29-63 (1990).
-
(1990)
Comm. Math. Phys.
, vol.134
, pp. 29-63
-
-
Lüders, C.1
Roberts, J.E.2
-
38
-
-
0000659861
-
Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
-
J. Manuceau and A. Verbeure, Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations, Comm. Math. Phys. 9, 293-302 (1968).
-
(1968)
Comm. Math. Phys.
, vol.9
, pp. 293-302
-
-
Manuceau, J.1
Verbeure, A.2
-
40
-
-
36049054572
-
Quantized fields and particle creation in expanding universes. I
-
L. Parker, Quantized fields and particle creation in expanding universes. I, Phys. Rev. 183, 1057-1068 (1969).
-
(1969)
Phys. Rev.
, vol.183
, pp. 1057-1068
-
-
Parker, L.1
-
41
-
-
0001667048
-
Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces
-
L. Parker and S.A. Fulling, Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces, Phys. Rev. D 9, 341-354 (1974).
-
(1974)
Phys. Rev. D
, vol.9
, pp. 341-354
-
-
Parker, L.1
Fulling, S.A.2
-
42
-
-
33745986748
-
Free states of the canonical anticommutation relations
-
R.T. Powers and E. Størmer, Free states of the canonical anticommutation relations, Comm. Math. Phys. 16, 1-33 (1970).
-
(1970)
Comm. Math. Phys.
, vol.16
, pp. 1-33
-
-
Powers, R.T.1
Størmer, E.2
-
43
-
-
0030239988
-
Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
-
M.J. Radzikowski, Micro-local approach to the Hadamard condition in quantum field theory on curved space-time, Comm. Math. Phys. 179, 529-553 (1996).
-
(1996)
Comm. Math. Phys.
, vol.179
, pp. 529-553
-
-
Radzikowski, M.J.1
-
46
-
-
0004276192
-
-
Princeton University Press, Princeton, New Jersey
-
M.E. Taylor, Pseudodifferential Operators, Princeton University Press, Princeton, New Jersey, 1981.
-
(1981)
Pseudodifferential Operators
-
-
Taylor, M.E.1
-
47
-
-
0003882441
-
-
North-Holland Publ. Company, Amsterdam
-
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland Publ. Company, Amsterdam, 1978.
-
(1978)
Interpolation Theory, Function Spaces, Differential Operators
-
-
Triebel, H.1
-
48
-
-
0000502656
-
Notes on black hole evaporation
-
W.G. Unruh, Notes on black hole evaporation, Phys. Rev. D. 14, 870-892 (1976).
-
(1976)
Phys. Rev. D.
, vol.14
, pp. 870-892
-
-
Unruh, W.G.1
-
49
-
-
0002067773
-
Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
-
R. Verch, Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime, Lett. Math. Phys. 29, 297-310 (1993).
-
(1993)
Lett. Math. Phys.
, vol.29
, pp. 297-310
-
-
Verch, R.1
-
50
-
-
21344479560
-
Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
-
R. Verch, Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime, Comm. Math. Phys 160, 507-536 (1994).
-
(1994)
Comm. Math. Phys.
, vol.160
, pp. 507-536
-
-
Verch, R.1
-
51
-
-
0031285888
-
Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime
-
R. Verch, Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime, Rev. Math. Phys. 9, 635-674 (1997).
-
(1997)
Rev. Math. Phys.
, vol.9
, pp. 635-674
-
-
Verch, R.1
-
53
-
-
0004021335
-
-
Grundlehren der mathematischen Wissenschaften 123. Springer Verlag, Berlin, 6th edition
-
K. Yosida, Functional Analysis, Grundlehren der mathematischen Wissenschaften 123. Springer Verlag, Berlin, 6th edition, 1980.
-
(1980)
Functional Analysis
-
-
Yosida, K.1
|