ts-quantum/dist/quantum/src/utils/oscillator.d.ts

TypeScript library for quantum mechanics calculations and utilities

/**
 * Creation and annihilation operators for quantum harmonic oscillators
 */
import { IOperator } from '../core/types';
/**
 * Creates creation operator a† for dimension N
 * Matrix elements: ⟨n|a†|m⟩ = √(m+1)δ(n,m+1)
 */
export declare function creationOp(dimension: number): IOperator;
/**
 * Creates annihilation operator a for dimension N
 * Matrix elements: ⟨n|a|m⟩ = √m δ(n,m-1)
 */
export declare function destructionOp(dimension: number): IOperator;
/**
 * Creates number operator n = a†a for dimension N
 */
export declare function numberOp(dimension: number): IOperator;
/**
 * Creates position operator x = (a + a†)/√2 for dimension N
 */
export declare function positionOp(dimension: number): IOperator;
/**
 * Creates momentum operator p = i(a† - a)/√2 for dimension N
 */
export declare function momentumOp(dimension: number): IOperator;
/**
 * Creates harmonic oscillator Hamiltonian H = ℏω(a†a + 1/2)
 * For simplicity, we set ℏω = 1
 */
export declare function harmonicOscillator(dimension: number): IOperator;