<i>Conceptual Foundations of Quantum Physical an Overview from Modern Perspectives</i>

Home, Dipankar; Cushing, James T.

doi:10.1063/1.882411

Cited by 24 publications

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“…The classical limit of quantum mechanics is continuously an interesting research topic [1][2][3]. It is often considered thath → 0 gives the classical limit.…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical comparison: arrival times and statistics

Mousavi¹,

Miret‐Artés²

2015

Phys. Scr.

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Classical and quantum scattering of a non-Gaussian wave packet by a rectangular barrier is studied in terms of arrival times to a given detector location. A classical wave equation, proposed by N. Rosen [Am. J. Phys. 32 (1964) 377], is used to study the corresponding classical dynamics. Mean arrival times are then computed and compared for different values of initial wave packet parameters and barrier width. The agreement is improved in the large mass limit as one expects. A short comment on the possibility of generalization of Rosen's proposal to a two-body system is given. Differences in distributions of particles obeying different statistics are studied by considering a system composed of two free particles.

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“…The classical limit of quantum mechanics is continuously an interesting research topic [1][2][3]. It is often considered thath → 0 gives the classical limit.…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical comparison: arrival times and statistics

Mousavi¹,

Miret‐Artés²

2015

Phys. Scr.

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“…However, this pragmatic and admirably minimalist approach does not clarify exactly where this "Heisenberg cut" between the quantum system and the classical measuring apparatus or observer lies, and moreover how and also why its existence does not weaken the premise that all phenomena should be describable as quantum mechanical. As a criticism of this dual unitary-and-projection dynamics, Schrödinger proposed his well known cat paradox [4,9].…”

Section: Introductionmentioning

confidence: 99%

“…Further, they can help resolve the measurement problem, a subtle but arguably important problem in quantum epistemology and foundations. In simple words, it is concerned with understanding how macroscopic phenomena, in specific measurement outcomes, are classical even though the underlying microscopic states exist as quantum mechanical superpositions [4]. Let a system S to be measured be in the pure state |ψ = n i=1 a i |i , with n i=1 |a i | 2 = 1 where {|i } are a complete set of eigenstates of some observablê A that can be measured by a measuring apparatus M .…”

Section: Introductionmentioning

confidence: 99%

A Computational Model for Quantum Measurement

Srikanth

2003

Quantum Information Processing

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Is the dynamical evolution of physical systems objectively a manifestation of information processing by the universe? We find that an affirmative answer has important consequences for the measurement problem. In particular, we calculate the amount of quantum information processing involved in the evolution of physical systems, assuming a finite degree of fine-graining of Hilbert space. This assumption is shown to imply that there is a finite capacity to sustain the immense entanglement that measurement entails. When this capacity is overwhelmed, the system's unitary evolution becomes computationally unstable and the system suffers an information transition ('collapse'). Classical behaviour arises from the rapid cycles of unitary evolution and information transition. Thus, the fine-graining of Hilbert space determines the location of the 'Heisenberg cut', the mesoscopic threshold separating the microscopic, quantum system from the macroscopic, classical environment. The model can be viewed as a probablistic complement to decoherence, that completes the measurement process by turning decohered improper mixtures of states into proper mixtures. It is shown to provide a natural resolution to the measurement problem and the basis problem.

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“…This picture is important as it illuminates our debates over the wave-particle nature of light and quantum uncertainty, framing the contrasts between the standard (Copenhagen) interpretation and several alternative interpretations. [12][13][14][15][16] For clarity, it is important to emphasize here the distinction between diffraction, which relates to the scattering and probability distribution for individual photons, and interference, which is a cooperative phenomenon that relates to the probabilities of detection (absorption?) when there is a multiplicity of photons (e.g., two electromagnetic beams) that can influence each other at the point of detection.…”

Section: Introductionmmentioning

confidence: 99%

Momentum exchange theory of photon diffraction

Mobley

2018

Opt. Eng.

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Abstract. Momentum exchange theory (MET) provides an alternative picture for optical diffraction based on a distribution of photon paths through momentum transfer probabilities determined at the scattering aperture. This is contrasted with classical optical wave theory that uses the Huygens-Fresnel principle and sums the phased contributions of wavelets at the point of detection. Single-slit, multiple-slit (Talbot effect), and straightedge diffraction provide significant clues to the geometric parameters controlling momentum transfer probabilities and the relation to Fresnel zone numbers. Momentum transfer is primarily dependent on preferred momentum states at the aperture and the specific location and distance for momentum exchange. Diffraction by an opaque disc provides insight to negative (attractive) dispersions. MET should simplify the analysis of a broadened set of aperture configurations and experimental conditions.

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Conceptual Foundations of Quantum Physical an Overview from Modern Perspectives

Cited by 24 publications

References 0 publications

Quantum-classical comparison: arrival times and statistics

Quantum-classical comparison: arrival times and statistics

A Computational Model for Quantum Measurement

Momentum exchange theory of photon diffraction

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