@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}, publisher = {Gauthier-Villars}, volume = {60}, number = {2}, year = {1994}, mrnumber = {1270297}, zbl = {0791.47054}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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. http://archive.numdam.org/item/AIHPA_1994__60_2_241_0/
[1] The Schrödinger Equation, Kluwer Academic Publishers, Dordrecht, Boston and London, 1991. | MR | Zbl
and ,[2] On the Boundedness of Pseudo-Differential Operators, J. Math. Soc., Japan, Vol. 23, 1971, pp. 374-378. | MR | Zbl
and ,[3] Schrödinger and Dirac Operators with Singular Potentials and Hyperbolic Equations, Pacific J. Math., Vol. 72, 1977, pp. 361-382. | MR | Zbl
,[4] One Electron Molecules with Relativistic Kinetic Energy: Properties of the Discrete Spectrum, Commun. Math. Phys., Vol. 94, 1984, pp. 523-535. | MR
,[5] J. B. McLEOD, The Essential Self-Adjointness of Schrödinger-Type Operators, Arch. Rational Mech. Anal., Vol. 60, 1976, pp. 185-204. | MR | Zbl
, and[6] Commutators and Self-Adjointness of Hamiltonian Operators, Commun. Math. Phys., Vol. 35, 1974, pp. 39-48. | MR | Zbl
and ,[7] Spectral theory of the operator (p2+m2)1/2-Ze2/r, Ibid., Vol. 53, 1977, pp. 285-294. | MR | Zbl
,[8] Essential Selfadjointness of the Weyl Quantized Relativistic Hamiltonian, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 51, 1989, pp. 265-298. | Numdam | MR | Zbl
,[9] On Kato's Inequality for the Weyl Quantized Relativistic Hamiltonian, Manuscripta Math., Vol. 76, 1992, pp. 269-280. | MR | Zbl
and ,[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] On the Essential Self-Adjointness of Pseudo-Differential Operators, Proc. Japan Acad. Série A, Vol. 64, 1988, pp. 94-97. | MR | Zbl
and ,[13] Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York and London, 1975. | MR | Zbl
and ,[14] Methods of Modern Mathematical Physics IV, Analysis of Operators, Academic Press, New York and London, 1978. | MR | Zbl
and ,[15] Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin and Heidelberg, 1987. | MR | Zbl
,[16] Spectral Analysis of Pseudodifferential Operators, J. Functional Anal., Vol. 20, 1975, pp. 319-337. | MR | Zbl
,