Geometric quantization of the nonisotropic harmonic oscillator | Zendy

Kishore Marathe | Zendy; G. Martucci | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Geometric quantization of the nonisotropic harmonic oscillator

Author(s) -

Kishore Marathe,

G. Martucci

Publication year - 1984

Publication title -

il nuovo cimento della società italiana di fisica. b/il nuovo cimento b

Language(s) - English

Resource type - Journals

eISSN - 1826-9877

pISSN - 1594-9982

DOI - 10.1007/bf02723833

Subject(s) - isotropy , quantization (signal processing) , geometric quantization , harmonic oscillator , hamiltonian (control theory) , mathematics , second quantization , canonical quantization , mathematical analysis , classical mechanics , mathematical physics , physics , quantum mechanics , quantum , algorithm , quantum gravity , mathematical optimization , creation and annihilation operators

Summary Geometric quantization is applied to obtain quantization of the nonisotropic harmonic oscillatory by using an auxiliary globally defined function which differs, in general, from the Hamiltonian, but reduces in the isotropic case to a constant multiple of the Hamiltonian. The difficulties encountered in studying the corresponding orbit spaces are also discussed and the generalized structure ofV-manifolds necessary for their study is indicated.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research