We consider a process in which a neutral spinless particle decays into a charged spin-1 particle ${V}^{\ifmmode\pm\else\textpm\fi{}}$ and a charged spin-0 particle. The latter then decays into a ${V}^{\ensuremath{\mp}}$ and another neutral spinless particle. It is shown that the spins of the ${V}^{+}$ and ${V}^{\ensuremath{-}}$ are correlated. This correlation, however, becomes vanishingly small as soon as it is possible to decide whether the ${V}^{+}$ or the ${V}^{\ensuremath{-}}$ was emitted first.We consider a process in which a neutral spinless particle decays into a charged spin-1 particle ${V}^{\ifmmode\pm\else\textpm\fi{}}$ and a charged spin-0 particle. The latter then decays into a ${V}^{\ensuremath{\mp}}$ and another neutral spinless particle. It is shown that the spins of the ${V}^{+}$ and ${V}^{\ensuremath{-}}$ are correlated. This correlation, however, becomes vanishingly small as soon as it is possible to decide whether the ${V}^{+}$ or the ${V}^{\ensuremath{-}}$ was emitted first.

Physical ReviewAug 25, 19670 citations

Hamiltonian form of the Kemmer equation for spinless boson

Ronald R. Bousek

It is shown that for a free spinless particle described by the Kemmer equation, the Hamiltonian which Kemmer originally presented yields a velocity operator whose expectation value does not agree with the correspondence principle. Hamiltoniaos for a free spinless particle and a spinless particle in an electromagnetic field are constructed from the Kemmer equation. These Hairoi I toniaos differ from the ones originally presented by Kemmer. The free particle Hamiltonian yields a velocity operator whose expectation value is consistent with the correspondence principle.It is shown that for a free spinless particle described by the Kemmer equation, the Hamiltonian which Kemmer originally presented yields a velocity operator whose expectation value does not agree with the correspondence principle. Hamiltoniaos for a free spinless particle and a spinless particle in an electromagnetic field are constructed from the Kemmer equation. These Hairoi I toniaos differ from the ones originally presented by Kemmer. The free particle Hamiltonian yields a velocity operator whose expectation value is consistent with the correspondence principle.

Jan 1, 19650 citations

Particles with Spin

Siegfried Flügge

Springer eBooksJan 1, 19991 citation

On The Probability Density of Spinless Particles

MohammadJavad Kazemi, Hadi Hashamipour, Mohammad Hosein Barati

In this paper, we shall derive a new conserved current for Klein-Gordon equation. The first component of this current is non-negative and reduces to $|\phi|^2$ in the non-relativistic limit. Therefore, it can be interpreted as a suitable probability density for spinless particles. In addition, this current is time-like and so prevents faster than light particle propagation. We will see the probability density has a considerable deviation from $|\phi|^2$ providing the uncertainty in momentum is much greater than $m_0c$ .In this paper, we shall derive a new conserved current for Klein-Gordon equation. The first component of this current is non-negative and reduces to $|\phi|^2$ in the non-relativistic limit. Therefore, it can be interpreted as a suitable probability density for spinless particles. In addition, this current is time-like and so prevents faster than light particle propagation. We will see the probability density has a considerable deviation from $|\phi|^2$ providing the uncertainty in momentum is much greater than $m_0c$.

Feb 12, 20180 citations

A SPINLESS PARTICLE IN THREE DIMENSIONS

WORLD SCIENTIFIC eBooksJul 1, 19960 citations

{V}^{+}

and ${V}^{\ensuremath{-}}$ are correlated. This correlation, however, becomes vanishingly small as soon as it is possible to decide whether the

{V}^{+}

or the ${V}^{\ensuremath{-}}$ was emitted first.

In this paper, we shall derive a new conserved current for Klein-Gordon equation. The first component of this current is non-negative and reduces to

|\phi|^2

in the non-relativistic limit. Therefore, it can be interpreted as a suitable probability density for spinless particles. In addition, this current is time-like and so prevents faster than light particle propagation. We will see the probability density has a considerable deviation from

|\phi|^2

providing the uncertainty in momentum is much greater than

m_0c