@article{AIHPA_1994__60_2_241_0,
author = {Ichinose, Wataru},
title = {On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {241--252},
year = {1994},
publisher = {Gauthier-Villars},
volume = {60},
number = {2},
mrnumber = {1270297},
zbl = {0791.47054},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1994__60_2_241_0/}
}
TY - JOUR AU - Ichinose, Wataru TI - On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential JO - Annales de l'I.H.P. Physique théorique PY - 1994 SP - 241 EP - 252 VL - 60 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1994__60_2_241_0/ LA - en ID - AIHPA_1994__60_2_241_0 ER -
%0 Journal Article %A Ichinose, Wataru %T On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential %J Annales de l'I.H.P. Physique théorique %D 1994 %P 241-252 %V 60 %N 2 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1994__60_2_241_0/ %G en %F AIHPA_1994__60_2_241_0
Ichinose, Wataru. On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential. Annales de l'I.H.P. Physique théorique, Tome 60 (1994) no. 2, pp. 241-252. https://www.numdam.org/item/AIHPA_1994__60_2_241_0/
[1] and , The Schrödinger Equation, Kluwer Academic Publishers, Dordrecht, Boston and London, 1991. | Zbl | MR
[2] and , On the Boundedness of Pseudo-Differential Operators, J. Math. Soc., Japan, Vol. 23, 1971, pp. 374-378. | Zbl | MR
[3] , Schrödinger and Dirac Operators with Singular Potentials and Hyperbolic Equations, Pacific J. Math., Vol. 72, 1977, pp. 361-382. | Zbl | MR
[4] , One Electron Molecules with Relativistic Kinetic Energy: Properties of the Discrete Spectrum, Commun. Math. Phys., Vol. 94, 1984, pp. 523-535. | MR
[5] , and J. B. McLEOD, The Essential Self-Adjointness of Schrödinger-Type Operators, Arch. Rational Mech. Anal., Vol. 60, 1976, pp. 185-204. | Zbl | MR
[6] and , Commutators and Self-Adjointness of Hamiltonian Operators, Commun. Math. Phys., Vol. 35, 1974, pp. 39-48. | Zbl | MR
[7] , Spectral theory of the operator (p2+m2)1/2-Ze2/r, Ibid., Vol. 53, 1977, pp. 285-294. | Zbl | MR
[8] , Essential Selfadjointness of the Weyl Quantized Relativistic Hamiltonian, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 51, 1989, pp. 265-298. | Zbl | MR | Numdam
[9] and , On Kato's Inequality for the Weyl Quantized Relativistic Hamiltonian, Manuscripta Math., Vol. 76, 1992, pp. 269-280. | Zbl | MR
[10] , Remarks on Self-Adjointness of Operators in Quantum Mechanics and h-dependency of Solutions for Their Cauchy Problem, Preprint.
[11] , Pseudo-Differential Operators, M.I.T. Press, Cambridge, 1981.
[12] and , On the Essential Self-Adjointness of Pseudo-Differential Operators, Proc. Japan Acad. Série A, Vol. 64, 1988, pp. 94-97. | Zbl | MR
[13] and , Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York and London, 1975. | Zbl | MR
[14] and , Methods of Modern Mathematical Physics IV, Analysis of Operators, Academic Press, New York and London, 1978. | Zbl | MR
[15] , Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin and Heidelberg, 1987. | Zbl | MR
[16] , Spectral Analysis of Pseudodifferential Operators, J. Functional Anal., Vol. 20, 1975, pp. 319-337. | Zbl | MR





