scholarly journals COHERENT STATES, SUPERPOSITIONS OF COHERENT STATES AND UNCERTAINTY RELATIONS ON A MÖBIUS STRIP

2013 ◽  
Vol 28 (15) ◽  
pp. 1350058 ◽  
Author(s):  
THIAGO PRUDÊNCIO ◽  
DIEGO JULIO CIRILO-LOMBARDO
Keyword(s):  
Angular Momentum ◽  
Coherent States ◽  
Continuous Variable ◽  
Uncertainty Relations ◽  
Topological Properties ◽  
Möbius Strip ◽  
Symmetry Properties ◽  
Potential Applications ◽  
Fermionic Fields ◽  
Mobius Strip

Since symmetry properties of coherent states (CS) on Möbius strip (MS) and fermions are closely related, CS on MS are naturally associated to the topological properties of fermionic fields. Here, we consider CS and superpositions of coherent states (SCS) on MS. We extend a recent propose of CS on MS (Cirilo-Lombardo, J. Phys. A: Math. Theor.45, 244026 (2012)), including the analysis of periodic behaviors of CS and SCS on MS and the uncertainty relations associated to angular momentum and the phase angle. The advantage of CS and SCS on MS with respect to the standard ones and potential applications in continuous variable quantum computation (CVQC) are also addressed.

scholarly journals The Möbius strip of market spatiality: mobilizing transdisciplinary dialogues between CCT and the marketing mainstream

AMS Review ◽  
2021 ◽  
Author(s):  
Jack Coffin ◽  
Andreas Chatzidakis
Keyword(s):  
Theory And Practice ◽  
Marketing Theory ◽  
Multiple Perspectives ◽  
Möbius Strip ◽  
Potential Applications ◽  
Way Of Thinking ◽  
Mobius Strip ◽  
Single Strip

AbstractThis paper develops the Möbius strip as an ‘ordering theory’ (Sandberg and Alvesson, 2020) that brings CCT studies into dialogue with mainstream marketing approaches. The aim is to work toward a transdisciplinary understanding of market spatiality, a topic that has become increasingly important for theorists and practitioners (Warnaby and Medway, 2013; Castilhos et al., 2016; Chatzidakis et al., 2018). Building on psychosocial interpretations of the Möbius strip as a ‘tactical’ way of thinking, a range of insights and ideas are organized along a single strip of theorization. This paper maps a continuous plane of logic between the concepts of space, place, emplacement, spatiality, implacement, and displacement. The potential applications of the Möbius strip are then demonstrated by showing how the transdisciplinary topic of ‘atmosphere’ can be theorized from multiple perspectives. The paper concludes by exploring how the Möbius strip might also be employed in other areas of marketing theory and practice, potentially generating further transdisciplinary conversations between CCT and the marketing mainstream.

Angular momentum coherent states

1971 ◽  
Vol 321 (1546) ◽  
pp. 321-340 ◽  
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Classical Limit ◽  
Coherent States ◽  
Uncertainty Relations ◽  
Mean Square ◽  
Expectation Values ◽  
Angular Momenta ◽  
Two Component

The work of Carruthers & Nieto on the harmonic oscillator coherent states is combined with Schwinger’s construction of angular momentum to produce the angular momentum coherent states. It is shown that these states become the vector representatives of angular momentum in the classical limit, and so are particularly useful for discussing the transition from quantum to classical angular momentum. The uncertainty relations for angle and angular momentum are described and are compatible with the classical limit. Under rotations the coherent states transform in a manner that in the classical limit is equivalent to the transformation of vectors, and in the same limit the root mean square variation of the expectation values of the components of angular momentum become negligible in comparison with the expectation values themselves. The coupling of two angular momenta in the classical limit is investigated: it is shown that although the product of two coherent states is not itself a coherent state, it does represent a packet similar to a true coherent state, and centred on the direction of the classical resultant of the two component vectors. The properties and implications of hyperbolic angular momentum space are discussed.

scholarly journals Optical vortex lattice: an exploitation of orbital angular momentum

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Liuhao Zhu ◽  
Miaomiao Tang ◽  
Hehe Li ◽  
Yuping Tai ◽  
Xinzhong Li
Keyword(s):  
Angular Momentum ◽  
Optical Tweezers ◽  
Orbital Angular Momentum ◽  
Vortex Lattice ◽  
Optical Vortex ◽  
Yeast Cells ◽  
Particle Manipulation ◽  
Complex Motion ◽  
Potential Applications ◽  
Vortex Beams

Abstract Generally, an optical vortex lattice (OVL) is generated via the superposition of two specific vortex beams. Thus far, OVL has been successfully employed to trap atoms via the dark cores. The topological charge (TC) on each optical vortex (OV) in the lattice is only ±1. Consequently, the orbital angular momentum (OAM) on the lattice is ignored. To expand the potential applications, it is necessary to rediscover and exploit OAM. Here we propose a novel high-order OVL (HO-OVL) that combines the phase multiplication and the arbitrary mode-controllable techniques. TC on each OV in the lattice is up to 51, which generates sufficient OAM to manipulate microparticles. Thereafter, the entire lattice can be modulated to desirable arbitrary modes. Finally, yeast cells are trapped and rotated by the proposed HO-OVL. To the best of our knowledge, this is the first realization of the complex motion of microparticles via OVL. Thus, this work successfully exploits OAM on OVL, thereby revealing potential applications in particle manipulation and optical tweezers.

Edge Coloring and the Möbius Strip

2021 ◽  
Vol 94 (2) ◽  
pp. 113-117
Author(s):  
Jimmy Dillies
Keyword(s):  
Edge Coloring ◽  
Möbius Strip ◽  
Mobius Strip

scholarly journals Möbius Strip Microlasers: A Testbed for Non-Euclidean Photonics

2021 ◽  
Vol 127 (20) ◽  
Author(s):  
Yalei Song ◽  
Yann Monceaux ◽  
Stefan Bittner ◽  
Kimhong Chao ◽  
Héctor M. Reynoso de la Cruz ◽  
...  
Keyword(s):  
Möbius Strip ◽  
Mobius Strip
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