Casimir pistons with generalized boundary conditions: a step forward

Fucci, Guglielmo; Kirsten, Klaus; Munõz-Castañeda, J. M.

doi:10.1007/s13324-021-00507-2

Cited by 3 publications

(2 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the two objects lie outside of each other, the Casimir energy has the same form as in (1) but the force between them is defined as the variation of the total energy with respect to the distance between the objects (although the force can also be defined in this way when one object is inside the other, see for instance [8]). Since, in most cases, the divergent parts of the energies E 1 , E 2 , and E int is independent of this distance, the Casimir force is well-defined (even if the energy might be divergent [2,6,9]).…”

Section: Introductionmentioning

confidence: 99%

Vacuum energy of scalar fields on spherical shells with general matching conditions

Fucci,

Romaniega

2024

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

In this work we analyze the spectral zeta function for massless scalar fields propagating in a $D$-dimensional flat space underthe influence of a shell potential. The static nature of the potential, and the spherical symmetry, allows us to focus on the spatial part of the field which satisfies a one-dimensional Schrodinger equation endowed with a point potential. The shell potential is defined in terms of the two-interval self-adjoint extensions of the one-dimensional Schrodinger equation that describes the radial part of the scalar field. After performing the necessary analytic continuation, we utilize the spectral zeta function of the system to compute the vacuum energy of the field.

show abstract

Section: Introductionmentioning

confidence: 99%

Vacuum energy of scalar fields on spherical shells with general matching conditions

Fucci,

Romaniega

2024

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

show abstract

“…to define the self-adjoint extensions of ĤV , one could recover the Bloch semi-periodicity condition (3.4) from the boundary conditions in (3.6). This approach enables to interpret the comb as a oneparameter family of quantum pistons [148][149][150] where 1. The middle piston membrane is represented by the individual potential V(z) given in (3.1) placed at the middle point of the primitive cell.…”

Section: On Any Intervalmentioning

confidence: 99%

Extended objects in quantum field theory in three dimensions and applications

Sanz¹

View full text Add to dashboard Cite

Faculty of Sciences DEPARTMENT OF THEORETICAL PHYSICS, ATOMIC PHYSICS AND OPTICS Doctor of Philosophy EXTENDED OBJECTS IN QUANTUM FIELD THEORY IN THREE DIMENSIONS AND APPLICATIONS by Lucía SANTAMARÍA SANZ In this thesis the systematic study of Quantum Field Theories (QFT) in various dimensions is proposed from the point of view of mathematical and theoretical physics, paying special attention to systems of one and three spatial dimensions (in addition to the temporal dimension in both cases) under the influence of some particular external conditions. These conditions vary from local interactions with other external classical fields to ideal boundary conditions in confining geometries. More specifically, the main objective of this work is the study of the spectrum of quantum fluctuations of the fields in the vacuum state subject to the external conditions already indicated. This study will be applied to the calculation of several relevant parameters in three-dimensional and one-dimensional extended structures. These systems have recently received increasing interest in material physics (in micro-electromechanical devices based on the Casimir effect or topological defects in meta materials and nano tubes) and in fundamental physics (quantum effects in modern cosmology and topological defects such as domain walls, monopoles and skyrmions). Different configurations of quantum fields, both in compact domains and in open ones with boundaries, will be studied: A scalar field confined between plates mimicked by the most general type of lossless and frequently independent boundary conditions. Scalar fields propagating at finite temperature under the influence of Dirac d-d 0 lattices and Pöschl-Teller combs. Scalar fields between two parallel plates mimicked by Dirac d potentials in a curved background of a topological Pöschl-Teller kink. Relativistic fermionic particles propagating in the real space under the influence of either a single and a double Dirac d potential.

show abstract