Quantum indistinguishability: alternative constructions of the transported basis

Berry, Michael; Robbins, Jonathan M

doi:10.1088/0305-4470/33/24/101

Cited by 33 publications

(33 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This, despite first appearances, is a far from trivial question to address and has been the subject of quite considerable debate and interest for many decades. De Muynck [20], Berry and Robbins [21], Ginsberg et al [22] (see also Fleischhauer [23] for a very readable overview of Ginsberg et al's work), Omar [24], and Dieks and co-workers [25,26], amongst many others, have considered and explored the important issue of how indistinguishability and quantum statistics are intrinsically coupled. We shall not delve into the detailed arguments -be they physical, philosophical, or semantic in scope -and instead restrict ourselves to the following relatively simple, although certainly not "universal", definitions.…”

Section: Particle Statistics and The Quantum Identity Crisismentioning

confidence: 99%

“…This means that within the non-relativistic quantum framework the spin-statisticssymmetry link is generally accepted as a dictum, although alternative non-relativistic approaches have certainly been explored [21]. (Duck and Sudarshan [38] detail a proof of the spin-statistics theorem which can be "recast" in non-relativistic quantum field theory, but only if an aspect of their proof which stems from relativistic quantum theory (via Lorentz invariance) can be invoked as a postulate).…”

Section: Although the Higgs Boson Is An Honourable Exceptionmentioning

confidence: 99%

See 1 more Smart Citation

Pauli’s Principle in Probe Microscopy

Jarvis

Sweetman

Kantorovich

et al. 2015

Advances in Atom and Single Molecule Machines

View full text Add to dashboard Cite

It appears to be one of the few places in physics where there is a rule which can be stated very simply, but for which no one has found a simple and easy explanation. The explanation is deep down in relativistic quantum mechanics. This probably means that we do not have a complete understanding of the fundamental principle involved.RP Feynman, The Feynman Lectures on Physics, Vol III, Chapter 4 (1964) AbstractExceptionally clear images of intramolecular structure can be attained in dynamic force microscopy through the combination of a passivated tip apex and operation in what has become known as the "Pauli exclusion regime" of the tip-sample interaction. We discuss, from an experimentalist's perspective, a number of aspects of the exclusion principle which underpin this ability to achieve submolecular resolution. Our particular focus is on the origins, history, and interpretation of Pauli's principle in the context of interatomic and intermolecular interactions.

show abstract

Section: Particle Statistics and The Quantum Identity Crisismentioning

confidence: 99%

Section: Although the Higgs Boson Is An Honourable Exceptionmentioning

confidence: 99%

Pauli’s Principle in Probe Microscopy

Jarvis

Sweetman

Kantorovich

et al. 2015

Advances in Atom and Single Molecule Machines

View full text Add to dashboard Cite

show abstract

“…(6,7) Those authors were able to exclude permutation symmetries other than the completely symmetric and completely antisymmetric ones, which correspond to bosons and fermions, respectively. Berry and Robbins also elucidated the relation between the spin-statistics connection and the geometrical structure of the configuration space in a profound way, but neither they nor Leinaas and Myrheim excluded the "wrong" statistics for identical particles of any spin.…”

Section: Introductionmentioning

confidence: 99%

“…(5)(6)(7), here specialized to spin zero. The wave function for n identical spin-zero particles having no degrees of freedom other than the spatial ones should be a function of the unordered set of n spatial points, {r 1 , r 2 ,.…”

Section: Introductionmentioning

confidence: 99%

Spin-Zero Particles must be Bosons: A New Proof within Nonrelativistic Quantum Mechanics

Peshkin

2006

Found Phys

View full text Add to dashboard Cite

The key assumption is that of Leinaas and Myrheim and of Berry and Robbins, here specialized to spin zero: for n particles, the argument of the wave function should be the unordered multiplet {r 1 , r 2 , . . . , r n }. I also make use of the requirement that wave functions in the domain of the Hamiltonian must be continuous functions of the spatial variables. The new proof presented here has advantages of simplicity and transparency in comparison with earlier work based on the same two principles and it uses weaker assumptions, especially avoiding the use of rotations of the relative coordinate of identical particles.

show abstract

“…I n [2] it was pointed out that this is not so; there are other constructions of the transported basis which have these features and yet yield different statistics. While the Schwinger construction appears to be the simplest in certain respects, specific pr inciples are needed to establish a relation between spin and statistics.…”

Section: Introductionmentioning

confidence: 99%