Quantum and semi-classical aspects of confined systems with variable mass

DOI10.1088/1751-8121/abc8c6OpenAlexW3029454312MaRDI QIDQ5872029

James Moran, Véronique Hussin, Kevin Zelaya, Jean-Pierre Gazeau

Publication date: 26 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14231

zbMATH Keywords

integral quantizationconstrained geometryposition-dependent mass modelssemi-classical trajectoriesWeyl-Heisenberg symmetry

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Two-mode squeezed state quantisation and semiclassical portraits ⋮ The influence of corrugations on spin polarization in magnetic field ⋮ Generalized Susskind–Glogower coherent states

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the invertibility of Born-Jordan quantization
• Integral quantizations with two basic examples
• Dynamical equations, invariants and spectrum generating algebras of mechanical systems with position-dependent mass
• Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view
• From Weyl to Born-Jordan quantization: the Schrödinger representation revisited
• Coherent states and applications in mathematical physics.
• \(SU(1,1)\) coherent states for position-dependent mass singular oscillators
• Born-Jordan quantization. Theory and applications
• Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations
• Die Eindeutigkeit der Schrödingerschen Operatoren
• From classical to quantum models: the regularising Rôle of integrals, symmetry and probabilities
• The Feynman integral for singular Lagrangians
• Enhanced quantization: a primer
• Position-dependent mass oscillators and coherent states
• On a unique nonlinear oscillator
• Enhanced Quantization
• Foundations of Quantum Mechanics
• Quantum smooth boundary forces from constrained geometries

This page was built for publication: Quantum and semi-classical aspects of confined systems with variable mass