Work

Probability Current in Zero-spin Relativistic Quantum Mechanics

Year: 2021

Type: book-chapter

Abstract: We show that the antisymmetric spinor tensor representation of spin-0 relativistic quantum mechanics provides a conserved current with positive definite timelike component, interpretable as probability density. The construction runs in complete analogy to the spin-1/2 case, and provides an analogously natural one-particle Hilbert space description for spin 0. Except for the free particle, the obtained formulation proves to be inequivalent to the one based on the Klein--Gordon equation. The second quantized version may lead to new field theoretical interaction terms for zero-spin particles.

Source: WORLD SCIENTIFIC eBooks

DOI: 10.1142/9789811238406_0035

Authors: T. FÜLÖP, T. MATOLCSI

Institutions: Budapest University of Technology and Economics, Eötvös Loránd University

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Award: G1634734613