Study on Linear Canonical Transformation in a Framework of a Phase Space Representation of Quantum Mechanics
Raoelina Andriambololona,
Ravo Tokiniaina Ranaivoson,
Rakotoson Hanitriarivo,
Wilfrid Chrysante Solofoarisina
Issue:
Volume 1, Issue 1, April 2015
Pages:
1-8
Received:
10 March 2015
Accepted:
31 March 2015
Published:
8 April 2015
Abstract: We present a study on linear canonical transformation in the framework of a phase space representation of quantum mechanics that we have introduced in our previous work [1]. We begin with a brief recall about the so called phase space representation. We give the definition of linear canonical transformation with the transformation law of coordinate and momentum operators. We establish successively the transformation laws of mean values, dispersions, basis state and wave functions. Then we introduce the concept of isodispersion linear canonical transformation.
Abstract: We present a study on linear canonical transformation in the framework of a phase space representation of quantum mechanics that we have introduced in our previous work [1]. We begin with a brief recall about the so called phase space representation. We give the definition of linear canonical transformation with the transformation law of coordinate...
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Calculating the Lowest Reportable Concentrations of Toxic Chemicals in the Environment
Seth H. Frisbie,
Erika J. Mitchell,
Marwan S. Abualrub,
Yousef Abosalem
Issue:
Volume 1, Issue 1, April 2015
Pages:
9-13
Received:
21 April 2015
Accepted:
29 April 2015
Published:
7 May 2015
Abstract: The equation promulgated by 40 Code of Federal Regulations (CFR) to calculate method detection limit (MDL) and used since 1981 in the United States and other countries to protect public health and the environment is incorrect. As a result, toxic chemicals in a large number of air, food, water, wastes, and other environmental samples may in fact be present at measurable concentrations even though they are currently being reported as “not detected”. That is, the air we breathe, the food we eat, and the water and other liquids we drink may have measurable concentrations of toxic chemicals, despite being reported as not detected and assumed to be absent. Furthermore, many chemicals, such as arsenic (As) in drinking water, are so toxic that they cannot be measured to safe levels and the allowable limits must be set at the lowest reportable concentrations. As a result, the allowable limits for some extremely toxic chemicals may be incorrectly set too high. Therefore, the consequences of this error pose a risk to public health and the environment. The sources of this error are explained and two improved ways of calculating method detection limit are presented.
Abstract: The equation promulgated by 40 Code of Federal Regulations (CFR) to calculate method detection limit (MDL) and used since 1981 in the United States and other countries to protect public health and the environment is incorrect. As a result, toxic chemicals in a large number of air, food, water, wastes, and other environmental samples may in fact be ...
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