Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Kashiwa T., Ohnuki Y., Suzuki M. — Path Integral Methods
Kashiwa T., Ohnuki Y., Suzuki M. — Path Integral Methods

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Path Integral Methods

Авторы: Kashiwa T., Ohnuki Y., Suzuki M.

Аннотация:

The last two decades have seen a consistent growth in the significance of path integrals. They are useful in quantum as well as statistical mechanics, providing more intuitive and easier methods of handling equations than more commonly-known treatments. However, the method is still greeted with skepticism. Where has the operator ordering problem gone? Do polar coordinates work in PI, despite the fact that they cannot exist in the canonical operator formalism? Is it possible to obtain a quantum mechanics on the sphere by inserting a delta function into the unconstrained formula? This book addresses and solves these fundamental issues, and covers more recent topics, such as the lattice fermion problem in quantum theory and the Monte Carlo method in statistical mechanics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition

Год издания: 1997

Количество страниц: 221

Добавлена в каталог: 27.02.2015

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$\alpha$-ordering      6
$\chi$-condition      87
1PI vertex function      150
Adjoint operation      20
Aharonov — Bohm effect      110
Annihilation operator      13
Annihilation operator(fermionic)      16
Anti-instanton      57
Anti-kink solution      56
Anti-normal ordering      24
Anti-periodic boundary condition      22
Anti-periodic eigenfunction      37
Auxiliary field      162
Campbell — Baker — Hausdorff formula      5
Canonical transformation      68
Character formula of U(n) over $CP^{n}$      140
Character formula of U(n) over the Grassmann manifold      143
Character of SU(2) group      132
Chiral symmetry      158
Coherent states      15
Coherent states of fermi operators      21
Completeness conditions      3
Consistency condition      84
Continuum path integral representation      8
Creation operator      13
Creation operator (fermionic)      16
Critical coupling constant      165
D-dimensional spherical operator      93
Dilute gas approximation      57
Dirac bracket      85
Dirac field      144
Direction interchange symmetry(DIS)      156
Effective action      149
Effective potential      149 153
Euclidean Feynman path integral formula      12
Euclidean representation      11
Euclidean technique      10
Feynman diagrams      42
Feynman kernel      3
Feynman kernel with an imaginary time      12
Feynman path integral formula      8
Feynman propagator      34 42 149
Field      144
First-class constraint      87
Fock state      14 133
FS path integral formula      89
FS path integral formula for $M^{D}$      100
FS path integral formula for $S^{D}$      99
Functional derivative      44
Fundamental kets(bras)      3
gap equation      164
Gaussian integration in bose case      14
Gaussian integration in fermi case      18
Generating function      9
Generating function of connected Green's function      43
Goldstone particle      166
Grassmann - even (G-even)      17
Grassmann numbers      16
Grassmann odd (G-odd)      17
Green's function      9
Hamiltonian path integral formula      8
Heisenberg picture      9
Identity transformation      69
Imaginary time evolution operator      10
Imaginary time generating function      10
Imaginary time generating function (fermi case)      25
Infinitesimal transformation      70
Instanton      57
Integral form of the completeness condition on the sphere      95
Invariant Haar measure on U(m)      141
Kamiltonian      67
Kinetic term      25
Kink solution      56
Lagrangian path integral formula      8
Left derivative      18
Legendre transformation      149
Loop      53
Loop expansion      53
Mid-point prescription      7
Minimum value condition      47
Minkowski representation      11
Naive Dirac action      157
Naive Dirac term      156
Nielsen — Rohrlich formula      125
Normal ordering      24
One-particle-irreducible graph(1PI)      150
Operator ordering problem      4
Overcomplete      15
Particle      149
Partition function      13
Path integral formula in coherent states      16
Periodic boundary condition      11
Periodic coherent state      120
Periodic eigenfunction      35
Periodic Green's function      29
Phase space path integral formula      7
Point canonical transformation      77
Poisson bracket      84
Poisson's summation formula      104
PQ-ordering      4
Primary constraint      84
Projective space      132
QP-ordering      4
Resolution of unity      14
Resolution of unity (fermi case)      19
Rule of discarding $O(\Delta t^{2})$ terms      2
Scalar field      144
Scalar propagator      148
Schroedinger picture      2
Schwinger boson      134
Second class constraint      87
Secondary constraint      84
Semiclassical approximation      54
Singular Lagrangian      86
species doubling      157
Spherical delta function      94
Spherical harmonics in D-dimension      94
Spontaneous symmetry breaking      149
Stability condition      51
Substitution rule      71
T-product (time-ordered-product)      9
Time evolution operator      1
Trace formula      11
Trotter's formula      2
Twisted boundary condition      135
Univeral covering space      107
van Vleck determinant      52
Vertex      42
Weyl-ordering      5
Weyl-ordering (fermi case)      24
Wick expansion      42
Wilson action      156
Wilson term      156
Winding number      106
WKB (Wentzel — Kramers — Brillouin) approximation      47
Zero-mode problem      60
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте