Abstract
We consider the Dirac operator
which appears in the relativistic quantum mechanics. For the detailed definition of the Dirac operator (1.1) see §2. It is well-known that the liming absorption principle holds for the Dirac operator (1.1) and, as a result, that the extended resolvents \( {R_ \pm }(\lambda ) \) exist for any real value A with |∈| > 1. The limiting absorption principle has a close connection with the spectral and scattering theory for the Dirac operator.
Keywords
- Asymptotic Behavior
- Dirac Operator
- Selfadjoint Operator
- Relativistic Quantum Mechanic
- Resolvent Estimate
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© 1994 Springer Basel AG
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Pladdy, C., Saitō, Y., Umeda, T. (1994). Asymptotic Behavior of the Resolvent of the Dirac Operator. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_8
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DOI: https://doi.org/10.1007/978-3-0348-8545-4_8
Publisher Name: Birkhäuser, Basel
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