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Coherent states for a quantum particle on a Möbius strip
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In this paper, the coherent states for a quantum particle on a Mobius strip are constructed and the relation with the natural phase space for fermionic fields is shown, and the explicit comparison of the obtained states with previous works where the cylinder quantization was used and the spin 1/2 was introduced by hand is given.Abstract:
The coherent states for a quantum particle on a Mobius strip are constructed and the relation with the natural phase space for fermionic fields is shown. The explicit comparison of the obtained states with previous works where the cylinder quantization was used and the spin 1/2 was introduced by hand is given.read more
Citations
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Entanglement and non-trivial topologies
TL;DR: In this article, the authors consider states defined on non-trivial topologies of Torus, Mobius and Torus-Mobius and derive two-mode coherent states and entangled states on Torus.
Journal ArticleDOI
Coherent States, Superpositions of Coherent States and Uncertainty Relations on a M\"obius Strip
TL;DR: In this paper, the authors consider CS and superpositions of coherent states (SCS) on Mobius strip (MS) and fermions and analyze the periodic behaviors of CS and SCS on MS and the uncertainty relations associated to angular momentum and the phase angle.
Journal ArticleDOI
Coherent states, superpositions of coherent states and uncertainty relations on a möbius strip
TL;DR: In this article, the authors consider CS and superpositions of coherent states (SCS) on Mobius strip (MS) and fermions are closely related, and the analysis of periodic behaviors of CS and SCS on MS and the uncertainty relations associated to angular momentum and the phase angle are discussed.
Coherent states, superpositions of coherent states and uncertainty relations on a m¨
TL;DR: In this paper, the authors consider CS and superpositions of coherent states (SCS) on Mobius strip (MS) and fermions and analyze the periodic behaviors of CS and SCS on MS and the uncertainty relations associated to angular momentum and the phase angle.
Journal ArticleDOI
Entanglement And Non-Trivial Topologies
TL;DR: In this article, the authors consider states defined on non-trivial topologies of Torus, Mobius and Torus-Mobius and derive two-mode coherent states and entangled states.
References
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Journal ArticleDOI
Coherent states for systems with discrete and continuous spectrum
TL;DR: For a system with one degree of freedom, coherent states that are parametrized by classical canonical action-angle variables are introduced in this article for semibounded Hamiltonian operators having either a discrete or a continuous spectrum.
Journal ArticleDOI
Coherent states for a quantum particle on a circle
TL;DR: In this article, the coherent states for a quantum particle on a circle are introduced and the Bargmann representation within the actual treatment provides the representation of the algebra, where U is unitary, which is a direct consequence of the Heisenberg algebra.