### Abstract

The Dirac Hamiltonian is calculated in the Schwarzschild space and compared to the analogous one in a uniformly accelerating Minkowski frame yielding a test of the equivalence principle. Comparing these Hamiltonians, we see that the flat-space energy-mass terms and their redshifted forms are the same in the two cases, but the coefficient of the spin-orbit coupling term is different and an additional term appears in the gravitational case.

Original language | English |
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Pages (from-to) | 263-269 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 250 |

Issue number | 4-6 |

Publication status | Published - Dec 28 1998 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*250*(4-6), 263-269.

**The effect of Schwarzschild field on spin 1/2 particles compared to the effect of a uniformly accelerating frame.** / Varjú, K.; Ryder, Lewis H.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 250, no. 4-6, pp. 263-269.

}

TY - JOUR

T1 - The effect of Schwarzschild field on spin 1/2 particles compared to the effect of a uniformly accelerating frame

AU - Varjú, K.

AU - Ryder, Lewis H.

PY - 1998/12/28

Y1 - 1998/12/28

N2 - The Dirac Hamiltonian is calculated in the Schwarzschild space and compared to the analogous one in a uniformly accelerating Minkowski frame yielding a test of the equivalence principle. Comparing these Hamiltonians, we see that the flat-space energy-mass terms and their redshifted forms are the same in the two cases, but the coefficient of the spin-orbit coupling term is different and an additional term appears in the gravitational case.

AB - The Dirac Hamiltonian is calculated in the Schwarzschild space and compared to the analogous one in a uniformly accelerating Minkowski frame yielding a test of the equivalence principle. Comparing these Hamiltonians, we see that the flat-space energy-mass terms and their redshifted forms are the same in the two cases, but the coefficient of the spin-orbit coupling term is different and an additional term appears in the gravitational case.

UR - http://www.scopus.com/inward/record.url?scp=0000310538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000310538&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000310538

VL - 250

SP - 263

EP - 269

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-6

ER -