The effect of Schwarzschild field on spin particles compared to the effect of a uniformly accelerating frame

Varjú, Katalin; Ryder, Lewis

doi:10.1016/s0375-9601(98)00831-7

Cited by 33 publications

(65 citation statements)

References 8 publications

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“…To illustrate this latter point, let us employ a different spatial frame for the fundamental observers at rest in the Schwarzschild field. In the linear approximation, the standard form of the Schwarzschild metric can be expressed in Cartesian coordinates [11] as follows:…”

Section: Dirac Particle In Schwarzschild Spacetimementioning

confidence: 99%

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Spin precession in inertial and gravitational fields

Mashhoon

Obukhov

2013

Phys. Rev. D

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We discuss the motion of spin in inertial and gravitational fields. The coupling of spin with rotation and the gravitomagnetic field has already been extensively studied; therefore, we focus here on the inertial and gravitational spin-orbit couplings. In particular, we investigate the classical and quantum aspects of spin precession and spin-orbit coupling in an arbitrary translationally accelerated frame of reference as well as the exterior Schwarzschild spacetime. Moreover, in connection with Einstein's principle of equivalence, we clarify the relation between the inertial and gravitational spin-orbit couplings.

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Section: Dirac Particle In Schwarzschild Spacetimementioning

confidence: 99%

“…[11] is buried in the details of the evaluation of the commutators in the Foldy-Wouthuysen transformation.…”

Section: Dirac Particle In Schwarzschild Spacetimementioning

confidence: 99%

Spin precession in inertial and gravitational fields

Mashhoon

Obukhov

2013

Phys. Rev. D

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“…In [11], the authors posed the question if the the equivalence principal will hold for a quantum particle. This is a natural question to ask and a good candidate for the techniques of applying gravity to the Dirac equation.…”

Section: New Techniquementioning

confidence: 99%

“…With the accuracy of the results under scrutiny from the community, and the expense of repeating the experiment in the near future too high, new ways of demonstrating gravitational frame dragging could result in more accurate results sooner [1]. A number of analyses of neutron interference effects due to various metric perturbations have been found in the literature [12,11]. However, the approach of each author depends on a specific metric.…”

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confidence: 99%

Neutron interference in the gravitational field of a ring laser

Fischetti

Mallett

2015

Phys. Rev. D

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Measuring the gravitational inertial frame dragging effect has been attempted in the recent Gravity Probe B experiment. With the accuracy of the results under scrutiny from the community, and the expense of repeating the experiment in the near future too high, new ways of demonstrating gravitational frame dragging could result in more accurate results sooner [1]. A number of analyses of neutron interference effects due to various metric perturbations have been found in the literature [12,11]. However, the approach of each author depends on a specific metric. I will present a new general technique giving the The development of the ring laser has led to numerous applications in many areas of physics. Mallett [3] solved the linear Einstein field equations to obtain the gravitational field produced by the electromagnetic radiation of a unidirectional ring laser. It was shown that a massive neutral spinning particle at the center of the ring laser exhibited gravitational inertial frame dragging. The post Newtonian phenomenon of inertial frame dragging is usually associated with the gravitational field generated by rotating matter. An example of this is is the prediction that a satellite in a polar orbit around the earth should be dragged around by the gravitational field generated by the rotation of the earth. The recent results of the Gravity Probe B experiment seems to indicate the existence of this effect. However, to our knowledge, no experimental demonstration has yet been carried out quantitatively verifying the gravitational influence of circulating light on matter.For my thesis, I propose to develop a new general technique giving the Foldy-Wouthuysen transformed Hamiltonian for a Dirac particle in the most general linearized space-time metric. I will then apply this new technique to calculate the phase shift due to the interference of two neutron beams in the gravitational field of a ring laser.

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“…Refs. [9,10,11,12,13]-but the corrections to the non-relativistic Schrödinger equation in the Newtonian gravity potential are usually very small. For instance, in the experiments on gravitational stationary states, one uses ultra-cold neutrons in the Earth's gravitational field [5].…”

Section: Introductionmentioning

confidence: 99%

Dirac-Type Equations in a Gravitational Field, with Vector Wave Function

Arminjon

2008

Found Phys

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An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of these two equations is generally-covariant, transforms the wave function as a four-vector, and differs from the Fock-Weyl gravitational Dirac equation (DFW equation). One obeys the equivalence principle in an often-accepted sense, whereas the DFW equation obeys that principle only in an extended sense.Key words: quantum mechanics in a gravitational field, classicalquantum correspondence, Dirac and Klein-Gordon equations, preferred reference frame, tensor Dirac theory.

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The effect of Schwarzschild field on spin particles compared to the effect of a uniformly accelerating frame

Cited by 33 publications

References 8 publications

Spin precession in inertial and gravitational fields

Spin precession in inertial and gravitational fields

Neutron interference in the gravitational field of a ring laser

Dirac-Type Equations in a Gravitational Field, with Vector Wave Function

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