Path-integral quantum PATHTREE and PATHINT Algorithms

Abstract

The author previously developed a generalization of a binomial tree algorithm, PATHTREE, to develop options pricing for multiplicative-noise models possessing quite generally time dependent and nonlinear means and variances. This code is generalized here for complex variable spaces, to produce qPATHTREE useful for quantum systems. As highlighted in this paper, a quantum version, qPATHTREE, has the ability to take into account time dependent modifications of an evolving system. qPATHTREE is shown to be useful to study some aspects of serial changes to systems. Similarly, another path-integral code, PATHINT, used for several previous systems is developed into qPATHINT. An example is given for a free particle, and it is explained why an n-tree generalization of qPATHTREE beyond the binomial tree is required for such systems, similar to code developed for qPATHINT. Potential applications in neuroscience and financial markets are discussed.

Authors and Affiliations

Lester Ingber

Keywords

Related Articles

Path-integral quantum PATHTREE and PATHINT Algorithms

The author previously developed a generalization of a binomial tree algorithm, PATHTREE, to develop options pricing for multiplicative-noise models possessing quite generally time dependent and nonlinear means and varian...

A SECURE SCHEME FOR MONITORING SAFETY IN VEHICULAR ADHOC NETWORK

Vehicle ad-hoc networks has significantly used in automobiles for an effective communication with one another. The decentralized nature of this network provides an extensive range of applications which makes passenger sa...

Kenya Police Service Members’ Perception of the Effectiveness of Guidance and Counseling Services in Curbing Suicide Ideation and Stress Management

The main purpose of the study was to assess the Kenya police members’ perception of the effectiveness of guidance and counselling services in curbing suicide ideation and stress management. The inability to cope effectiv...

MULTIMEDIA SECURITY, IMPACT ON OUR SOCIETY AND THE PLACE OF OUR LAW ON IT

The Mass diffusion of digital media and the explosive growth of telecommunication are reshaping the lifestyles of ordinary people, research and industry. Over the last decades, the rise of digital telecommunication techn...

Frequency Domain Approach of Image Steganography

Image steganography is the art of hiding a message, image, or file within another message, image, or file. Likely, an old term in Ancient Greek, Steganography is derived from steganos meaning ―”concealed” and graphein me...

Download PDF file
  • EP ID EP183798
  • DOI -
  • Views 158
  • Downloads 0

How To Cite

Lester Ingber (2016). Path-integral quantum PATHTREE and PATHINT Algorithms. International Journal of Innovative Research in Information Security, 0(0), 1-15. https://europub.co.uk/articles/-A-183798