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In-out Formalism for the QED Effective Action in a Constant Electromagnetic Field
김상표 한국물리학회 2012 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.61 No.8
In the in-out formalism, the effective action is given by the vacuum persistence amplitude and is expressed by using Bogoliubov coefficients between the in-vacuum and the out-vacuum. In the second quantized field theory, the Jost functions with proper boundary conditions determine the Bogoliubov coefficients for spin-1/2 fermions or spinless, charged bosons in electric fields. We apply the in-out formalism to compute the complex effective action in a constant electric field parallel to a constant magnetic field in the space-dependent gauge and in the time-dependent gauge. The vacuum polarization has the proper-time integral representation through the gamma-function regularization, and the vacuum persistence is twice the sum of the residues at the poles.
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과정 철학과 프로네시스- 조직의 창조적 전진을 위한 길찾기 -
김상표,김영진 한국화이트헤드학회 2011 화이트헤드 연구 Vol.0 No.22
How Whitehead's ultimate category and foresight can contribute to organization theory? This paper tried to show how Whitehead's work on process paradigm has contributed significantly towards efforts in organization theory to explore organization as process. For a long time, management scholars have been trying to exclude subjectivity from management in order to build an "objective" theory that can be applied universally to any situation that managers face. Despite this rational effort, it is impossible to completely exclude subjectivity from management. As Whitehead points out, science or knowledge cannot be freed from subjective factors because it is about issues of subjectivity, such as values, intensity. Creativity plays a important role in the relationship between human beings and the world. Process philosophy has been incorporated into the works of a few management scholars. Among them, Nonaka(2007) propose concrescence model of organizational change based on the philosophy of Whitehead. According to Nonaka, to understand management, we have to understand the process in which humans are interrelated. In the substance thinking of conventional economical theory, where the person is viewed as homo economicus, individual relationships are defined in contracts for satisfying people's desires only in terms of the possession and consumption of goods and the accumulation of wealth. There, there is no community, only individuals who exist apart from others. A contract-based view of external relationships cannot grasp the process of ultimate category(creativity, one, many). Nonaka also asserts that what defines the firm and the knowledge it creates is its practical ability to make value judgements in each particular situation to realize its vision of the future. This ability was described by Aristotle as an essential habit of mind that grasps the truth. It is the intellectual virtue he called phronesis, roughly translated as prudence, practical wisdom, and practical rationality. Whitehead translated it as foresight, seasonable truth. Therefore, The aim of this paper is to discuss the notion of Whitehead's process philosophy as being a unifying label for theoretical models that together emphasize innovation and stability, foresight(phronesis), concrete relationship and community. 화이트헤드는 초월성보다는 내재성을 통해서 실재에 대한 이해를 탐구하였다. 내재성은 과정을 실재로서 이해하는 것이다. 과정을 지성으로써 이해한다는 것은 베르그손의 말대로 ‘공간화’에 머물 수도 있다. 과정은 오직 직관을 통해서만 이해할 수 있다는 것이 베르그손의 관점이다. 화이트헤드는 베르그손과는 달리 지성과 직관은 모두 인간 경험의 중요한 측면이라고 보며, 이 양자의 결합을 통해 과정을 더욱 정합적이고 논리적으로 포착할 수 있다고 본다. 이 글은 화이트헤드의 과정철학에서 궁극자의 범주에 해당하는 창조성, 일자, 다자를 보다 쉽게 이해할 수 있게 설명하였으며, 이를 조직이론에 어떻게 적용가능하지를 살펴보았다. 오늘날 조직이론에서 다양한 변화의 물결이 일어나고 있다. 우리는 이런 변화가 전체적으로 과정철학, 특히 화이트헤드의 개념들과 밀접한 관련이 있음을 밝혀보고자 하였다.
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Schwinger Mechanism and Hawking Radiation as Quantum Tunneling
김상표 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.53 No.2
The common interpretation of the Hawking radiation as quantum tunneling has some ambiguity, such as a coordinate dependence of the tunneling rate and a noninvariance of the action under canonical transformations. It is shown that the tunneling proces of black holes can be succesfuly described by using Rindler coordinates in analogy with the Schwinger mechanism for pair produc- tion. We study the tunneling proces of a charged black hole and a Banados-Teitelboim-Zaneli (BTZ) black hole.
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Strong Scalar QED in Inhomogeneous Electromagnetic Fields
김상표 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.5
Strong quantum electrodynamics (QED) has attracted attention recently partly because many astrophysical phenomena have been observed to involve electromagnetic fields beyond the critical strength for electron-positron pair production and partly because terrestrial experiments will generate electromagnetic fields above or near the critical strength in the near future. In this talk,we critically review QED phenomena involving strong external electromagnetic fields. Strong QED is characterized by vacuum polarization due to quantum fluctuations and pair production due to the vacuum instability. A canonical method is elaborated for pair production at zero or finite temperature by inhomogeneous electric fields. An algorithm is advanced to calculate the pair-production rate for electric fields acting for finite periods of time, or for electric fields localized in space, or for oscillating electric fields. Finally, strong QED is discussed in astrophysics, in particular, strange stars.
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Matrix Operator Approach to the Quantum Evolution Operator and the Geometric Phase
김상표,김재완,소광섭 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.10
The Moody-Shapere-Wilczek’s adiabatic effective Hamiltonian and Lagrangian method is developedfurther into the matrix effective Hamiltonian (MEH) and Lagrangian (MEL) approach to aparameter-dependent quantum system. The matrix-operator approach formulated in the productintegral (PI) provides not only a method to find the wave function efficiently in the MEH approachbut also higher order corrections to the effective action systematically in the MEL approach, a lathe Magnus expansion and the Kubo cumulant expansion. A coupled quantum system of a lightparticle of a harmonic oscillator is worked out, and as a by-product, a new kind of gauge potential(Berry’s connection) is found even for nondegenerate cases (real eigenfunctions). Moreover, in thePI formulation the holonomy of the induced gauge potential is related to Schlesinger’s exact formulafor the gauge field tensor. A superadiabatic expansion is also constructed, and a generalizedDykhne formula, depending on the contour integrals of the homotopy class of complex degeneratepoints, is rephrased in the PI formulation.
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