Quantum mechanics with geometric constraints of Friedmann type

被引：1

作者：

Lasukova, Tatiana ^{[2
]}

Lasukov, Vladimir ^{[1
]}

Abdrashitova, Maria ^{[1
]}

机构：

[1] Tomsk Polytech Univ, Lenin Str 30, Tomsk, Russia

[2] Tomsk State Pedag Univ, Tomsk, Russia

来源：

OPEN PHYSICS | 2017年 / 15卷 / 01期

关键词：

Mach's principle; geometric constraints; quantum geometrodynamics with constraints; INFLATIONARY UNIVERSE; FLATNESS; HORIZON; GRAVITY;

D O I：

10.1515/phys-2017-0063

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper presents the study of quantum mechanics of a free particle with the constraints in the phase space, the canonical equations, which are the geometrical constraints of Friedmann type. It has been proved that the constraints can imitate force. As well as in quantum geometrodynamics with Logunov constraints, in quantum mechanics with constraints time does not vanish

引用

页码：551 / 556

页数：6

共 19 条

[1]

Altshuler BL, 1996, USP FIZ NAUK+, V166, P459, DOI 10.1070/PU1996v039n05ABEH000144

[2] QUANTUM THEORY OF GRAVITY .2. MANIFESTLY COVARIANT THEORY [J].

DEWITT, BS .

PHYSICAL REVIEW, 1967, 162 (05) :1195-&

[3] QUANTUM THEORY OF GRAVITY .I. CANONICAL THEORY [J].

DEWITT, BS .

PHYSICAL REVIEW, 1967, 160 (05) :1113-&

[4]

GLINER EB, 2002, USP FIZ NAUK, V172, P221

[5] INFLATIONARY UNIVERSE - A POSSIBLE SOLUTION TO THE HORIZON AND FLATNESS PROBLEMS [J].

GUTH, AH .

PHYSICAL REVIEW D, 1981, 23 (02) :347-356

[6] WAVEFUNCTION OF THE UNIVERSE [J].

HARTLE, JB ;

HAWKING, SW .

PHYSICAL REVIEW D, 1983, 28 (12) :2960-2975

[7] TIME OPERATOR [J].

Lasukov, V. V. ;

Kharlova, A. N. .

RUSSIAN PHYSICS JOURNAL, 2008, 51 (03) :321-326

[8] A QUANTUM LAW OF INERTIA IN SUPERSPACE-TIME [J].

Lasukov, V. V. .

RUSSIAN PHYSICS JOURNAL, 2011, 54 (01) :39-46

[9]

Lasukov V.V., 2012, RUSS PHYS J, V55, P1157

[10] Superconducting dark energy [J].

Liang, Shi-Dong ;

Harko, Tiberiu .

PHYSICAL REVIEW D, 2015, 91 (08)

← 1 2 →