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A GROUP THEORETICAL CONSIDERATION OF THE FIRST PRINCIPLES OF RELATIVISTIC QUANTUM MECHANICS. II. A CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF AN INHOMOGENEOUS LORENTZ GROUP

Yu. M. Shirokov

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Abstract

A classification has been obtained of the states of a relativistic quantum system. The irreducible representations of an inhomogeneous Lorentz group are divided into four hasic classes P/sub m/,P/sub II/, P/sub o/, O/sub o/. All representations o f classes P/sub m/, P/sub II/, both unitary and non- unitary, are obtained in the explicit form. (tr-auth)

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A classification has been obtained of the states of a relativistic quantum system. The irreducible representations of an inhomogeneous Lorentz group are divided into four hasic classes P/sub m/,P/sub II/, P/sub o/, O/sub o/. All representations o f classes P/sub m/, P/sub II/, both unitary and non- unitary, are obtained in the explicit form. (tr-auth)

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Available abstract

A classification has been obtained of the states of a relativistic quantum system. The irreducible representations of an inhomogeneous Lorentz group are divided into four hasic classes P/sub m/,P/sub II/, P/sub o/, O/sub o/. All representations o f classes P/sub m/, P/sub II/, both unitary and non- unitary, are obtained in the explicit form. (tr-auth)

Key concepts: Unitary state, Lorentz group, Group (periodic table), Lorentz transformation, Representation theory of the Lorentz group, Irreducible representation, Relativistic quantum mechanics, Physics

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A GROUP THEORETICAL CONSIDERATION OF THE FIRST PRINCIPLES OF RELATIVISTIC QUANTUM MECHANICS. II. A CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF AN INHOMOGENEOUS LORENTZ GROUP — Research Paper | ScholarLens