Journal of Mathematical Physics
SCOPUS (1960-2023)SCIE-ISI
1089-7658
0022-2488
Mỹ
Cơ quản chủ quản: American Institute of Physics , AIP PUBLISHING
Lĩnh vực:
Mathematical PhysicsStatistical and Nonlinear Physics
Các bài báo tiêu biểu
Time-Dependent Statistics of the Ising ModelThe individual spins of the Ising model are assumed to interact with an external agency (e.g., a heat reservoir) which causes them to change their states randomly with time. Coupling between the spins is introduced through the assumption that the transition probabilities for any one spin depend on the values of the neighboring spins. This dependence is determined, in part, by the detailed ... ... hiện toàn bộ
Tập 4 Số 2 - Trang 294-307 - 1963
Brownian Motion of a Quantum OscillatorAn action principle technique for the direct computation of expectation values is described and illustrated in detail by a special physical example, the effect on an oscillator of another physical system. This simple problem has the advantage of combining immediate physical applicability (e.g., resistive damping or maser amplification of a single electromagnetic cavity mode) with a signifi... ... hiện toàn bộ
Tập 2 Số 3 - Trang 407-432 - 1961
Statistical Theory of the Energy Levels of Complex Systems. INew kinds of statistical ensemble are defined, representing a mathematical idealization of the notion of ``all physical systems with equal probability.'' Three such ensembles are studied in detail, based mathematically upon the orthogonal, unitary, and symplectic groups. The orthogonal ensemble is relevant in most practical circumstances, the unitary ensemble applies only when time-reversa... ... hiện toàn bộ
Tập 3 Số 1 - Trang 140-156 - 1962
The Zeno’s paradox in quantum theoryWe seek a quantum-theoretic expression for the probability that an unstable particle prepared initially in a well defined state ρ will be found to decay sometime during a given interval. It is argued that probabilities like this which pertain to continuous monitoring possess operational meaning. A simple natural approach to this problem leads to the conclusion that an unstable particle whi... ... hiện toàn bộ
Tập 18 Số 4 - Trang 756-763 - 1977
The Painlevé property for partial differential equationsIn this paper we define the Painlevé property for partial differential equations and show how it determines, in a remarkably simple manner, the integrability, the Bäcklund transforms, the linearizing transforms, and the Lax pairs of three well-known partial differential equations (Burgers’ equation, KdV equation, and the modified KdV equation). This indicates that the Painlevé property may... ... hiện toàn bộ
Tập 24 Số 3 - Trang 522-526 - 1983
An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic FieldThe theory of explicitly time-dependent invariants is developed for quantum systems whose Hamiltonians are explicitly time dependent. The central feature of the discussion is the derivation of a simple relation between eigenstates of such an invariant and solutions of the Schrödinger equation. As a specific well-posed application of the general theory, the case of a general Hamiltonian whi... ... hiện toàn bộ
Tập 10 Số 8 - Trang 1458-1473 - 1969
An Exactly Soluble Model of a Many-Fermion SystemAn exactly soluble model of a one-dimensional many-fermion system is discussed. The model has a fairly realistic interaction between pairs of fermions. An exact calculation of the momentum distribution in the ground state is given. It is shown that there is no discontinuity in the momentum distribution in this model at the Fermi surface, but that the momentum distribution has infinite slop... ... hiện toàn bộ
Tập 4 Số 9 - Trang 1154-1162 - 1963
Relationship between Systems of Impenetrable Bosons and Fermions in One DimensionA rigorous one-one correspondence is established between one-dimensional systems of bosons and of spinless fermions. This correspondence holds irrespective of the nature of the interparticle interactions, subject only to the restriction that the interaction have an impenetrable core. It is shown that the Bose and Fermi eigenfunctions are related by ψB=ψFA, where A(x1 … xn) is +1 or −1 acco... ... hiện toàn bộ
Tập 1 Số 6 - Trang 516-523 - 1960
Những Kỳ Dị Khối Lượng của Biên Độ Feynman Dịch bởi AI Các biên độ Feynman, được xem như hàm số của khối lượng, thể hiện nhiều kỳ dị khi cho phép khối lượng của các đường nội và ngoại giảm xuống không. Trong bài viết này, các đặc tính của những kỳ dị khối lượng này, được định nghĩa là các nghiệm bất thường của điều kiện Landau, được nghiên cứu chi tiết. Một phương pháp chung được phát triển, cho phép chúng ta xác định mức độ phân kỳ của các bi... ... hiện toàn bộ
Tập 3 Số 4 - Trang 650-677 - 1962
#Biên độ Feynman #Kỳ dị khối lượng #Điều kiện Landau #Phân kỳ #Xác suất chuyển trạng thái #Điều chỉnh điện tích #Phương pháp chỉnh lý.
Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function InteractionThe equilibrium thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction is shown to be derivable from the solution of a simple integral equation. The excitation spectrum at any temperature T is also found.
Tập 10 Số 7 - Trang 1115-1122 - 1969