Quantum motion on the three-dimensional sphere. Ellipsoidal basis

Ruben G. Hayrapetyan; Kh. H. Karayan; G. S. Pogosyan; A. N. Sissakyan; D. I. Zaslavsky

Quantum motion on the three-dimensional sphere. Ellipsoidal basis

Ruben G. Hayrapetyan, Kh. H. Karayan, G. S. Pogosyan, A. N. Sissakyan, D. I. Zaslavsky

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is solved and the ellipsoidal basis is constructed for the Helmholtz equation or the Schroedinger equation for free motion on the three-dimensional sphere.

Original language	American English
Journal	Communications of Joint Institute for Nuclear Research
Volume	28
State	Published - Jan 1 1996

Disciplines

Mechanical Engineering

Cite this

@article{f0cf24f667b24bc2b20ac5c0e7a1d9d0,

title = "Quantum motion on the three-dimensional sphere. Ellipsoidal basis",

abstract = " The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is solved and the ellipsoidal basis is constructed for the Helmholtz equation or the Schroedinger equation for free motion on the three-dimensional sphere. ",

author = "Hayrapetyan, {Ruben G.} and Karayan, {Kh. H.} and Pogosyan, {G. S.} and Sissakyan, {A. N.} and Zaslavsky, {D. I.}",

note = "The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is s",

year = "1996",

month = jan,

day = "1",

language = "American English",

volume = "28",

journal = "Communications of Joint Institute for Nuclear Research",

}

TY - JOUR

T1 - Quantum motion on the three-dimensional sphere. Ellipsoidal basis

AU - Hayrapetyan, Ruben G.

AU - Karayan, Kh. H.

AU - Pogosyan, G. S.

AU - Sissakyan, A. N.

AU - Zaslavsky, D. I.

N1 - The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is s

PY - 1996/1/1

Y1 - 1996/1/1

N2 - The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is solved and the ellipsoidal basis is constructed for the Helmholtz equation or the Schroedinger equation for free motion on the three-dimensional sphere.

AB - The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is solved and the ellipsoidal basis is constructed for the Helmholtz equation or the Schroedinger equation for free motion on the three-dimensional sphere.

UR - https://inis.iaea.org/search/search.aspx?orig_q=RN:28002379

M3 - Article

VL - 28

JO - Communications of Joint Institute for Nuclear Research

JF - Communications of Joint Institute for Nuclear Research

ER -

Quantum motion on the three-dimensional sphere. Ellipsoidal basis

Abstract

Disciplines

Other files and links

Cite this