On the quantization of linearly damped harmonic oscillator

DOI10.1063/1.529258zbMath0737.58013OpenAlexW2082614153MaRDI QIDQ3980880

I. S. Minhas, Sunita Srivastava, Vishwamittar

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529258

zbMATH Keywords

quantizationFeynman path integralsdamped harmonic oscillator

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30)

Related Items (3)

On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator ⋮ The Wigner representation of classical mechanics, quantization and classical limit ⋮ FRESNEL OPERATOR, SQUEEZED STATE AND WIGNER FUNCTION FOR CALDIROLA–KANAI HAMILTONIAN

Cites Work

• Hamilton's principal function for the Brownian motion of a particle and the Schrödinger–Langevin equation
• The range of application of the lagrange formalism — I
• The quantum damped driven harmonic oscillator
• A simple nonlinear dissipative quantum evolution equation
• Semi-canonical quantisation of dissipative equations
• Statistical Mechanics of Assemblies of Coupled Oscillators
• On the Definition and Approximation of Feynman's Path Integrals

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